New results
Laura Menicacci
2023-03-27
Data description
Distribution with removed states, visual criteria
State choice
Removed non-patenting states. Created two samples following two criteria:
“Visual” method: plotted distribution by state and removed all states that had overall total patenting equal or less than 5, so very few counts overall. 5 states fell into this criteria. The removed states are the following:
- Alaska
- Mississippi
- North Dakota
- West Virginia
- Wyoming
Rmk: there are still very low patenting states (e.g. Nebraska, Arkansas, Maine, Louisiana, Kansas, Hawaii)
Mechanical method: selected states whose distribution fell entirely below the median of y. 13 states fell into this criteria. The removed states are the following:
- “Alabama”
- “Alaska”
- “District of Columbia”
- “Kansas”
- “Kentucky”
- “Louisiana”
- “Maine”
- “Mississippi”
- “Montana”
- “Nebraska”
- “North Dakota”
- “West Virginia”
- “Wyoming”
Potential problem of this approach: give too much importance to outliers!! Maybe take the 75th quantile?
Overview: Preliminary results
Model specifications: * AR(0,1) * y with ihs transformation, y with log+1 transformation, normal y * p-value = 0.01, 0.05
AR0
p_value = 0.01 only here
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:15:24 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 0.4083008 1.0988219 0.3716 0.7102874
lpop 0.1228244 0.4683003 0.2623 0.7931644
lgdp_sq -0.0025070 0.0469877 -0.0534 0.9574611
avg_temp 0.0068327 0.0138781 0.4923 0.6225921
idAlaska 0.1539210 0.9159737 0.1680 0.8665867
idArizona 1.8382916 0.1616847 11.3696 < 2.2e-16 ***
idArkansas -0.7168372 0.2424386 -2.9568 0.0031851 **
idCalifornia 3.2209333 0.8451921 3.8109 0.0001473 ***
idColorado 2.2892983 0.2814646 8.1335 1.286e-15 ***
idConnecticut 3.0186267 0.3035117 9.9457 < 2.2e-16 ***
idDelaware 2.4677290 0.6843453 3.6060 0.0003271 ***
idDistrictofColumbia 0.7209092 0.9029629 0.7984 0.4248470
idFlorida 1.6797514 0.5509056 3.0491 0.0023586 **
idGeorgia 1.3623506 0.2966739 4.5921 4.974e-06 ***
idHawaii -0.5375363 0.6553705 -0.8202 0.4123051
idIdaho 0.9916685 0.5205387 1.9051 0.0570690 .
idIllinois 1.9602000 0.4422827 4.4320 1.042e-05 ***
idIndiana 1.1123096 0.2309947 4.8153 1.708e-06 ***
idIowa 0.5298050 0.2966688 1.7858 0.0744406 .
idKansas 0.2676003 0.2590662 1.0329 0.3018922
idKentucky 0.3155498 0.1558208 2.0251 0.0431362 *
idLouisiana 0.1647656 0.1689486 0.9752 0.3296873
idMaine 0.4117538 0.5864095 0.7022 0.4827496
idMaryland 1.4447747 0.2005713 7.2033 1.190e-12 ***
idMassachusetts 2.9174353 0.3024931 9.6446 < 2.2e-16 ***
idMichigan 2.3834103 0.4014407 5.9371 4.053e-09 ***
idMinnesota 2.1991567 0.3389058 6.4890 1.384e-10 ***
idMississippi 0.4722006 0.2609270 1.8097 0.0706553 .
idMissouri 0.8799695 0.1879656 4.6815 3.258e-06 ***
idMontana 0.3083292 0.6827426 0.4516 0.6516567
idNebraska -0.1643843 0.4368491 -0.3763 0.7067808
idNevada 1.4762358 0.3362792 4.3899 1.260e-05 ***
idNewHampshire 1.8174434 0.5737393 3.1677 0.0015851 **
idNewJersey 1.9694370 0.3208803 6.1376 1.225e-09 ***
idNewMexico 1.7177252 0.3667735 4.6833 3.230e-06 ***
idNewYork 2.6626958 0.6465340 4.1184 4.145e-05 ***
idNorthCarolina 1.9764854 0.2944006 6.7136 3.250e-11 ***
idNorthDakota 0.0750847 0.8208691 0.0915 0.9271385
idOhio 2.2808536 0.4021139 5.6722 1.867e-08 ***
idOklahoma 0.7611425 0.1541392 4.9380 9.309e-07 ***
idOregon 2.5699610 0.3076473 8.3536 2.308e-16 ***
idPennsylvania 2.2792968 0.4482964 5.0844 4.437e-07 ***
idRhodeIsland 1.9239293 0.6117648 3.1449 0.0017128 **
idSouthCarolina 1.4289628 0.1549909 9.2197 < 2.2e-16 ***
idSouthDakota -0.1192652 0.7452814 -0.1600 0.8728935
idTennessee 0.3713279 0.2262445 1.6413 0.1010704
idTexas 1.9897210 0.6710861 2.9649 0.0031027 **
idUtah 1.2440041 0.3112346 3.9970 6.908e-05 ***
idVermont 1.0331895 0.8500050 1.2155 0.2244714
idVirginia 1.6074055 0.2678702 6.0007 2.785e-09 ***
idWashington 2.0257263 0.3097028 6.5409 9.944e-11 ***
idWestVirginia 0.0530469 0.4050056 0.1310 0.8958200
idWisconsin 1.9586318 0.3080220 6.3587 3.145e-10 ***
idWyoming 1.3722310 0.9389396 1.4615 0.1442151
time2000 -5.0285864 7.6219351 -0.6598 0.5095718
time2001 -4.9954705 7.6254015 -0.6551 0.5125549
time2002 -4.8482729 7.6269593 -0.6357 0.5251398
time2003 -4.7417790 7.6255011 -0.6218 0.5342006
time2004 -4.7608741 7.6272121 -0.6242 0.5326477
time2005 -4.5013649 7.6296969 -0.5900 0.5553437
time2006 -4.3788968 7.6336994 -0.5736 0.5663550
time2007 -4.1804410 7.6326410 -0.5477 0.5840217
time2008 -4.1300235 7.6306223 -0.5412 0.5884658
time2009 -3.8883662 7.6334463 -0.5094 0.6105995
time2010 -3.9579112 7.6369185 -0.5183 0.6043965
time2011 -3.9668617 7.6381702 -0.5193 0.6036388
time2012 -4.0186183 7.6430250 -0.5258 0.5991566
time2013 -4.0807389 7.6362487 -0.5344 0.5931955
time2014 -4.3547357 7.6353652 -0.5703 0.5685826
time2015 -4.3362478 7.6404379 -0.5675 0.5704810
time2016 -4.4248847 7.6428718 -0.5790 0.5627553
time2017 -4.4929644 7.6414055 -0.5880 0.5566870
time2018 -4.4565210 7.6386649 -0.5834 0.5597506
time2019 -4.6152741 7.6369112 -0.6043 0.5457623
time2020 -5.5564505 7.6437372 -0.7269 0.4674475
iis65 1.9123133 0.3908942 4.8922 1.170e-06 ***
iis76 1.1768405 0.3849653 3.0570 0.0022977 **
iis168 -1.2116125 0.3984430 -3.0409 0.0024232 **
iis173 -1.2857973 0.3940167 -3.2633 0.0011402 **
iis247 -1.4694958 0.3883394 -3.7841 0.0001639 ***
iis249 -1.3236139 0.3885699 -3.4064 0.0006857 ***
iis250 -1.6153426 0.3886732 -4.1560 3.528e-05 ***
iis364 -1.4553471 0.3777448 -3.8527 0.0001246 ***
iis525 1.5290323 0.3807494 4.0158 6.387e-05 ***
iis527 -1.3793819 0.3781501 -3.6477 0.0002789 ***
iis576 -1.0505561 0.3851600 -2.7276 0.0064968 **
iis721 1.1903262 0.3830399 3.1076 0.0019419 **
iis866 1.7434342 0.3939148 4.4259 1.071e-05 ***
fesisAlaska.2007 -1.2192158 0.2010459 -6.0644 1.905e-09 ***
fesisAlaska.2014 0.7904637 0.2040454 3.8740 0.0001144 ***
fesisArkansas.2009 0.6482180 0.1723901 3.7602 0.0001801 ***
fesisConnecticut.2009 -0.5982914 0.1656534 -3.6117 0.0003200 ***
fesisDelaware.2014 -0.8178532 0.1849953 -4.4209 1.095e-05 ***
fesisDistrictofColumbia.2008 -1.2154298 0.2553178 -4.7605 2.230e-06 ***
fesisDistrictofColumbia.2011 1.4669191 0.2464042 5.9533 3.685e-09 ***
fesisHawaii.2001 1.3728067 0.3909467 3.5115 0.0004664 ***
fesisHawaii.2009 -0.4830059 0.1802577 -2.6795 0.0074991 **
fesisLouisiana.2011 -0.8326289 0.2163531 -3.8485 0.0001267 ***
fesisLouisiana.2015 1.0753087 0.2390419 4.4984 7.687e-06 ***
fesisMaine.2008 0.6999229 0.1688994 4.1440 3.715e-05 ***
fesisMississippi.2004 -1.3986445 0.2076588 -6.7353 2.819e-11 ***
fesisNebraska.2012 0.7383887 0.1675422 4.4072 1.166e-05 ***
fesisNevada.2012 -0.7433067 0.1854884 -4.0073 6.619e-05 ***
fesisNevada.2019 1.0401965 0.2964697 3.5086 0.0004714 ***
fesisOregon.2004 -0.7595870 0.2055449 -3.6955 0.0002319 ***
fesisRhodeIsland.2005 -0.8176507 0.1931060 -4.2342 2.515e-05 ***
fesisSouthCarolina.2008 0.8138095 0.1688143 4.8207 1.663e-06 ***
fesisSouthDakota.2008 1.2229023 0.1839370 6.6485 4.969e-11 ***
fesisSouthDakota.2019 -1.2583965 0.2845261 -4.4228 1.086e-05 ***
fesisTennessee.2005 0.6105224 0.1895153 3.2215 0.0013183 **
fesisWestVirginia.2013 -0.5877609 0.1692226 -3.4733 0.0005371 ***
fesisWyoming.2003 -0.8272521 0.2389653 -3.4618 0.0005603 ***
fesisWyoming.2017 -0.9102405 0.2377471 -3.8286 0.0001372 ***
fesisWyoming.2020 1.9366798 0.4256536 4.5499 6.057e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 3.1879 1 0.07419 .
Ljung-Box ARCH(1) 3.5869 1 0.05824 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.36470
R-squared 0.94193
Log-lik.(n=1071) -382.39447 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:13:43 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 2.190143 1.540560 1.4217 0.1554988
lpop 0.310336 0.468498 0.6624 0.5078933
lgdp_sq -0.069340 0.058361 -1.1881 0.2351177
avg_temp 0.021949 0.014258 1.5395 0.1240663
idArizona 1.710079 0.159635 10.7124 < 2.2e-16 ***
idArkansas -0.490227 0.273937 -1.7896 0.0738860 .
idCalifornia 2.847941 0.818476 3.4796 0.0005281 ***
idColorado 2.424730 0.291039 8.3313 3.249e-16 ***
idConnecticut 3.185928 0.311164 10.2388 < 2.2e-16 ***
idDelaware 3.104791 0.668886 4.6417 4.009e-06 ***
idDistrictofColumbia 1.298101 0.877943 1.4786 0.1396308
idFlorida 1.150423 0.539912 2.1308 0.0333994 *
idGeorgia 1.070143 0.298591 3.5840 0.0003579 ***
idHawaii -0.288396 0.641083 -0.4499 0.6529292
idIdaho 1.711715 0.542500 3.1552 0.0016610 **
idIllinois 1.784309 0.443013 4.0277 6.145e-05 ***
idIndiana 1.101539 0.234619 4.6950 3.114e-06 ***
idIowa 0.818070 0.294399 2.7788 0.0055785 **
idKansas 0.486406 0.252419 1.9270 0.0543200 .
idKentucky 0.390518 0.151695 2.5744 0.0102130 *
idLouisiana 0.028926 0.172335 0.1678 0.8667424
idMaine 1.428462 0.601066 2.3765 0.0176993 *
idMaryland 1.402995 0.212192 6.6119 6.751e-11 ***
idMassachusetts 2.930502 0.319697 9.1665 < 2.2e-16 ***
idMichigan 2.370947 0.402129 5.8960 5.397e-09 ***
idMinnesota 2.388006 0.349677 6.8292 1.640e-11 ***
idMissouri 0.852091 0.189443 4.4979 7.831e-06 ***
idNebraska 0.842900 0.478654 1.7610 0.0786067 .
idNevada 1.805913 0.329085 5.4877 5.397e-08 ***
idNewHampshire 2.522298 0.574376 4.3914 1.271e-05 ***
idNewJersey 1.848160 0.331553 5.5742 3.353e-08 ***
idNewMexico 2.118330 0.369206 5.7375 1.342e-08 ***
idNewYork 2.540762 0.638946 3.9765 7.598e-05 ***
idNorthCarolina 1.759387 0.294846 5.9672 3.560e-09 ***
idOhio 2.136975 0.401010 5.3290 1.270e-07 ***
idOklahoma 0.816441 0.147023 5.5532 3.767e-08 ***
idOregon 2.835370 0.301061 9.4179 < 2.2e-16 ***
idPennsylvania 2.150963 0.447011 4.8119 1.773e-06 ***
idRhodeIsland 2.671233 0.620445 4.3054 1.864e-05 ***
idSouthCarolina 1.411068 0.143808 9.8121 < 2.2e-16 ***
idSouthDakota 0.883548 0.773143 1.1428 0.2534476
idTennessee 0.295466 0.219492 1.3461 0.1786231
idTexas 1.528768 0.654744 2.3349 0.0197834 *
idUtah 1.734123 0.319179 5.4331 7.264e-08 ***
idVermont 2.209978 0.889632 2.4841 0.0131805 *
idVirginia 1.476210 0.276667 5.3357 1.226e-07 ***
idWashington 2.066607 0.322337 6.4113 2.407e-10 ***
idWisconsin 2.111343 0.314584 6.7115 3.546e-11 ***
time2000 -19.274078 10.253217 -1.8798 0.0604810 .
time2001 -19.245471 10.256465 -1.8764 0.0609445 .
time2002 -19.077216 10.260186 -1.8593 0.0633287 .
time2003 -19.014831 10.262932 -1.8528 0.0642670 .
time2004 -18.999702 10.269202 -1.8502 0.0646418 .
time2005 -18.760781 10.273576 -1.8261 0.0681879 .
time2006 -18.685365 10.278707 -1.8179 0.0694408 .
time2007 -18.458171 10.279087 -1.7957 0.0729022 .
time2008 -18.382020 10.276512 -1.7887 0.0740176 .
time2009 -18.175820 10.273752 -1.7692 0.0772323 .
time2010 -18.235464 10.279378 -1.7740 0.0764287 .
time2011 -18.270148 10.281034 -1.7771 0.0759189 .
time2012 -18.295730 10.286259 -1.7787 0.0756584 .
time2013 -18.335414 10.280621 -1.7835 0.0748679 .
time2014 -18.633479 10.282506 -1.8122 0.0703203 .
time2015 -18.618794 10.289022 -1.8096 0.0707193 .
time2016 -18.675570 10.291651 -1.8146 0.0699377 .
time2017 -18.719461 10.291842 -1.8189 0.0692890 .
time2018 -18.714110 10.292319 -1.8183 0.0693813 .
time2019 -18.884491 10.293510 -1.8346 0.0669191 .
time2020 -19.918472 10.294789 -1.9348 0.0533497 .
iis18 -1.256111 0.347936 -3.6102 0.0003242 ***
iis44 1.900916 0.379450 5.0097 6.651e-07 ***
iis147 -1.130725 0.366943 -3.0815 0.0021271 **
iis152 -1.316806 0.362998 -3.6276 0.0003034 ***
iis226 -1.572747 0.352220 -4.4652 9.093e-06 ***
iis228 -1.486776 0.352761 -4.2147 2.773e-05 ***
iis229 -1.759183 0.352819 -4.9861 7.490e-07 ***
iis343 -1.418975 0.347811 -4.0797 4.939e-05 ***
iis383 -1.036837 0.356548 -2.9080 0.0037337 **
iis485 -1.383377 0.348412 -3.9705 7.787e-05 ***
iis513 -1.591632 0.352325 -4.5175 7.155e-06 ***
iis515 -1.424182 0.351358 -4.0534 5.519e-05 ***
iis782 1.714476 0.362873 4.7247 2.701e-06 ***
fesisArkansas.2005 1.336427 0.379768 3.5191 0.0004564 ***
fesisArkansas.2006 -1.871867 0.391860 -4.7769 2.101e-06 ***
fesisArkansas.2009 1.578204 0.240050 6.5745 8.580e-11 ***
fesisArkansas.2015 -0.704021 0.196405 -3.5845 0.0003572 ***
fesisConnecticut.2009 -0.605881 0.153185 -3.9552 8.293e-05 ***
fesisDelaware.2014 -0.869922 0.171632 -5.0685 4.935e-07 ***
fesisDistrictofColumbia.2008 -1.246855 0.236358 -5.2753 1.689e-07 ***
fesisDistrictofColumbia.2011 1.412940 0.227634 6.2071 8.482e-10 ***
fesisHawaii.2001 1.600117 0.379346 4.2181 2.732e-05 ***
fesisHawaii.2005 -0.708194 0.197398 -3.5876 0.0003530 ***
fesisLouisiana.2011 -0.825540 0.199565 -4.1367 3.879e-05 ***
fesisLouisiana.2015 1.051545 0.220896 4.7604 2.276e-06 ***
fesisMaine.2011 0.566914 0.154807 3.6621 0.0002659 ***
fesisNebraska.2002 -1.058781 0.309917 -3.4163 0.0006652 ***
fesisNebraska.2005 1.078515 0.220469 4.8919 1.197e-06 ***
fesisNevada.2012 -0.818805 0.172654 -4.7425 2.481e-06 ***
fesisNevada.2019 1.075735 0.273235 3.9370 8.935e-05 ***
fesisOregon.2004 -0.803231 0.190706 -4.2119 2.807e-05 ***
fesisRhodeIsland.2005 -0.835745 0.178445 -4.6835 3.289e-06 ***
fesisSouthCarolina.2008 0.768714 0.155673 4.9380 9.527e-07 ***
fesisSouthDakota.2008 1.714459 0.241779 7.0910 2.830e-12 ***
fesisSouthDakota.2011 -0.803501 0.232417 -3.4571 0.0005734 ***
fesisSouthDakota.2019 -1.014162 0.269681 -3.7606 0.0001813 ***
fesisTennessee.2005 0.589572 0.174499 3.3787 0.0007620 ***
fesisUtah.2016 -0.658158 0.184705 -3.5633 0.0003869 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 3.2068 1 0.0733350 .
Ljung-Box ARCH(1) 13.6073 1 0.0002253 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.33535
R-squared 0.94116
Log-lik.(n=945) -254.90748 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:17:22 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.6410970 1.4268861 -1.8510 0.0646145 .
lpop 1.3028495 0.4310143 3.0228 0.0026000 **
lgdp_sq 0.0933079 0.0529882 1.7609 0.0787062 .
avg_temp 0.0022660 0.0131517 0.1723 0.8632585
idCalifornia 0.2190574 0.6249756 0.3505 0.7260690
idColorado 0.6711936 0.2310308 2.9052 0.0037905 **
idConnecticut 1.7158377 0.2816772 6.0915 1.881e-09 ***
idDelaware 1.7516586 0.6368955 2.7503 0.0061139 **
idDistrictofColumbia 1.0495762 0.8231133 1.2751 0.2027034
idFlorida -0.8033840 0.3827111 -2.0992 0.0361719 *
idGeorgia -0.6320293 0.1660858 -3.8054 0.0001545 ***
idIdaho -0.4265915 0.5135354 -0.8307 0.4064403
idIllinois -0.2005454 0.2830830 -0.7084 0.4789215
idIndiana -0.7229595 0.1456230 -4.9646 8.734e-07 ***
idIowa -1.6419574 0.3342530 -4.9123 1.131e-06 ***
idKentucky -1.3409866 0.1621303 -8.2710 7.104e-16 ***
idMaryland -0.2065144 0.1369850 -1.5076 0.1321339
idMassachusetts 1.2466173 0.2167117 5.7524 1.336e-08 ***
idMichigan 0.2279319 0.2737276 0.8327 0.4053115
idMinnesota 0.5319560 0.2789901 1.9067 0.0569824 .
idMissouri -0.9083697 0.1180530 -7.6946 5.066e-14 ***
idNevada 0.2392908 0.3373506 0.7093 0.4783693
idNewHampshire 0.6629704 0.5446176 1.2173 0.2239116
idNewJersey 0.0950070 0.1943605 0.4888 0.6251296
idNewMexico 0.3223873 0.3798432 0.8487 0.3963290
idNewYork 0.2129634 0.4602762 0.4627 0.6437389
idNorthCarolina -0.0432690 0.1572606 -0.2751 0.7832914
idOhio 0.1052713 0.2519295 0.4179 0.6761827
idOklahoma -0.8099266 0.1850473 -4.3769 1.395e-05 ***
idOregon 0.8732322 0.2775528 3.1462 0.0017271 **
idPennsylvania 0.0546231 0.2929135 0.1865 0.8521230
idRhodeIsland 0.6836387 0.5801082 1.1785 0.2390268
idSouthCarolina -0.2913295 0.1626204 -1.7915 0.0736672 .
idTennessee -0.8788852 0.0948258 -9.2684 < 2.2e-16 ***
idTexas -0.6524121 0.4754400 -1.3722 0.1704496
idUtah -0.1650285 0.3145410 -0.5247 0.5999893
idVirginia -0.1899757 0.1498248 -1.2680 0.2052414
idWashington 0.2762757 0.2207269 1.2517 0.2111274
idWisconsin 0.0070037 0.2434957 0.0288 0.9770620
time2000 9.9153282 8.9746380 1.1048 0.2696339
time2001 10.0268671 8.9783523 1.1168 0.2644859
time2002 10.1615369 8.9784237 1.1318 0.2581330
time2003 10.1472013 8.9798393 1.1300 0.2588796
time2004 10.2194733 8.9851918 1.1374 0.2557891
time2005 10.4245307 8.9891241 1.1597 0.2465893
time2006 10.6220203 8.9933506 1.1811 0.2379814
time2007 10.7130860 8.9932352 1.1912 0.2339800
time2008 10.8169718 8.9903303 1.2032 0.2293303
time2009 10.9752585 8.9869541 1.2212 0.2224215
time2010 11.0053004 8.9909028 1.2240 0.2213623
time2011 10.9656474 8.9927992 1.2194 0.2231268
time2012 10.9192339 8.9974850 1.2136 0.2253311
time2013 10.8778165 8.9919029 1.2097 0.2268055
time2014 10.5430198 8.9936652 1.1723 0.2415028
time2015 10.6141586 8.9996423 1.1794 0.2386566
time2016 10.4762217 9.0022961 1.1637 0.2449468
time2017 10.4665254 9.0025022 1.1626 0.2453942
time2018 10.5242466 9.0026044 1.1690 0.2428085
time2019 10.3588320 9.0026476 1.1506 0.2502879
time2020 9.2642658 9.0041124 1.0289 0.3038997
iis105 -1.1450305 0.3026471 -3.7834 0.0001685 ***
iis110 -1.4349009 0.2884543 -4.9744 8.317e-07 ***
iis114 -1.8779541 0.2898113 -6.4799 1.774e-10 ***
iis115 -0.9347899 0.2895144 -3.2288 0.0013034 **
iis116 -1.0119780 0.2894518 -3.4962 0.0005030 ***
iis170 -1.2130258 0.2913691 -4.1632 3.546e-05 ***
iis254 -1.0860643 0.2877238 -3.7747 0.0001744 ***
iis259 -1.5383352 0.2870719 -5.3587 1.153e-07 ***
iis359 -1.4706350 0.2875217 -5.1149 4.099e-07 ***
iis397 -0.9236157 0.2970766 -3.1090 0.0019563 **
iis631 -1.1183776 0.2869954 -3.8968 0.0001072 ***
iis634 -1.1701208 0.2870563 -4.0763 5.123e-05 ***
iis692 -1.0311390 0.2910167 -3.5432 0.0004226 ***
iis695 -1.1198474 0.2872357 -3.8987 0.0001064 ***
fesisConnecticut.2009 -0.5713880 0.1265220 -4.5161 7.437e-06 ***
fesisDelaware.2014 -0.8793058 0.1420493 -6.1901 1.045e-09 ***
fesisIowa.2002 0.8006599 0.2129636 3.7596 0.0001850 ***
fesisNevada.2010 -0.7339330 0.1435302 -5.1134 4.129e-07 ***
fesisNevada.2019 0.8583766 0.2223145 3.8611 0.0001238 ***
fesisOregon.2004 -0.6637962 0.1577950 -4.2067 2.942e-05 ***
fesisRhodeIsland.2005 -0.6819594 0.1488021 -4.5830 5.464e-06 ***
fesisSouthCarolina.2008 0.7864557 0.1280713 6.1408 1.404e-09 ***
fesisWisconsin.2014 0.5016545 0.1311996 3.8236 0.0001437 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.89818 1 0.34327
Ljung-Box ARCH(1) 4.00717 1 0.04531 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.27566
R-squared 0.94499
Log-lik.(n=756) -57.04732 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:03:23 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.817466 0.916508 -0.8919 0.3726508
lpop 0.592368 0.388921 1.5231 0.1280624
lgdp_sq 0.036635 0.039306 0.9321 0.3515444
avg_temp 0.006058 0.011610 0.5218 0.6019276
idAlaska 0.798679 0.763814 1.0456 0.2959879
idArizona 1.524666 0.133936 11.3836 < 2.2e-16 ***
idArkansas -0.139757 0.219129 -0.6378 0.5237677
idCalifornia 2.361599 0.694375 3.4010 0.0006990 ***
idColorado 2.062720 0.234045 8.8133 < 2.2e-16 ***
idConnecticut 2.878557 0.253175 11.3698 < 2.2e-16 ***
idDelaware 2.631399 0.567312 4.6384 3.999e-06 ***
idDistrictofColumbia 1.355751 0.749103 1.8098 0.0706348 .
idFlorida 1.063133 0.454870 2.3372 0.0196326 *
idGeorgia 0.988608 0.244654 4.0408 5.752e-05 ***
idHawaii 0.015172 0.543700 0.0279 0.9777433
idIdaho 1.060506 0.433948 2.4439 0.0147106 *
idIllinois 1.488725 0.362779 4.1037 4.412e-05 ***
idIndiana 0.864819 0.190924 4.5297 6.652e-06 ***
idIowa 0.596918 0.248050 2.4064 0.0162971 *
idKansas 0.397059 0.215896 1.8391 0.0662066 .
idKentucky 0.282119 0.130557 2.1609 0.0309514 *
idLouisiana 0.181210 0.141777 1.2781 0.2015117
idMaine 0.744443 0.485302 1.5340 0.1253646
idMaryland 1.230881 0.165944 7.4175 2.625e-13 ***
idMassachusetts 2.635285 0.249577 10.5590 < 2.2e-16 ***
idMichigan 1.926946 0.330468 5.8310 7.526e-09 ***
idMinnesota 1.960427 0.281745 6.9581 6.381e-12 ***
idMississippi 0.492238 0.217292 2.2653 0.0237150 *
idMissouri 0.674890 0.155726 4.3338 1.620e-05 ***
idMontana 0.643790 0.568110 1.1332 0.2574080
idNebraska 0.201845 0.363835 0.5548 0.5791810
idNevada 1.446246 0.280576 5.1546 3.087e-07 ***
idNewHampshire 1.872789 0.477645 3.9209 9.450e-05 ***
idNewJersey 1.621387 0.263570 6.1516 1.125e-09 ***
idNewMexico 1.651686 0.304680 5.4211 7.499e-08 ***
idNewYork 2.053170 0.530112 3.8731 0.0001148 ***
idNorthCarolina 1.567299 0.242124 6.4731 1.530e-10 ***
idNorthDakota 0.675553 0.682429 0.9899 0.3224605
idOhio 1.802917 0.330048 5.4626 5.980e-08 ***
idOklahoma 0.696108 0.128692 5.4091 8.000e-08 ***
idOregon 2.297475 0.257666 8.9165 < 2.2e-16 ***
idPennsylvania 1.782709 0.367827 4.8466 1.464e-06 ***
idRhodeIsland 1.956519 0.508566 3.8471 0.0001274 ***
idSouthCarolina 1.208152 0.129862 9.3033 < 2.2e-16 ***
idSouthDakota 0.394956 0.619456 0.6376 0.5238962
idTennessee 0.279847 0.187880 1.4895 0.1366842
idTexas 1.291944 0.552366 2.3389 0.0195437 *
idUtah 1.207885 0.260039 4.6450 3.874e-06 ***
idVermont 1.305268 0.706274 1.8481 0.0648950 .
idVirginia 1.296835 0.220248 5.8881 5.400e-09 ***
idWashington 1.743429 0.255663 6.8192 1.618e-11 ***
idWestVirginia 0.115669 0.340103 0.3401 0.7338560
idWisconsin 1.683460 0.256051 6.5747 7.996e-11 ***
idWyoming 1.739556 0.780828 2.2278 0.0261229 *
time2000 -0.133738 6.373409 -0.0210 0.9832630
time2001 -0.096525 6.376299 -0.0151 0.9879251
time2002 0.021755 6.377580 0.0034 0.9972790
time2003 0.108516 6.376266 0.0170 0.9864252
time2004 0.088659 6.377617 0.0139 0.9889114
time2005 0.328622 6.379626 0.0515 0.9589289
time2006 0.473152 6.382354 0.0741 0.9409189
time2007 0.622041 6.381920 0.0975 0.9223741
time2008 0.685663 6.380195 0.1075 0.9144407
time2009 0.875599 6.382733 0.1372 0.8909153
time2010 0.825243 6.385640 0.1292 0.8971994
time2011 0.804861 6.386677 0.1260 0.8997410
time2012 0.758061 6.390784 0.1186 0.9056029
time2013 0.693877 6.384909 0.1087 0.9134834
time2014 0.452983 6.384073 0.0710 0.9434483
time2015 0.465581 6.388305 0.0729 0.9419167
time2016 0.372971 6.390269 0.0584 0.9534697
time2017 0.328957 6.389071 0.0515 0.9589478
time2018 0.374926 6.386464 0.0587 0.9531983
time2019 0.217162 6.385045 0.0340 0.9728754
time2020 -0.624706 6.390995 -0.0977 0.9221530
iis65 1.211273 0.338253 3.5810 0.0003595 ***
iis76 0.923899 0.322577 2.8641 0.0042728 **
iis247 -0.877696 0.333512 -2.6317 0.0086329 **
iis249 -1.373239 0.356742 -3.8494 0.0001263 ***
iis250 -1.644841 0.356706 -4.6112 4.545e-06 ***
iis364 -1.125362 0.316476 -3.5559 0.0003951 ***
iis525 1.352912 0.318951 4.2417 2.433e-05 ***
iis527 -1.018840 0.316841 -3.2156 0.0013451 **
iis576 -0.835056 0.322748 -2.5873 0.0098184 **
iis866 1.360881 0.330010 4.1238 4.050e-05 ***
fesisAlaska.2007 -1.002223 0.168370 -5.9525 3.701e-09 ***
fesisAlaska.2014 0.691221 0.170848 4.0458 5.633e-05 ***
fesisArkansas.2006 -0.695042 0.225587 -3.0810 0.0021216 **
fesisArkansas.2009 0.898267 0.201519 4.4575 9.272e-06 ***
fesisConnecticut.2009 -0.546309 0.138615 -3.9412 8.696e-05 ***
fesisDelaware.2014 -0.887511 0.148038 -5.9951 2.876e-09 ***
fesisDistrictofColumbia.2008 -0.889044 0.209797 -4.2376 2.477e-05 ***
fesisDistrictofColumbia.2011 1.182208 0.206499 5.7250 1.383e-08 ***
fesisHawaii.2001 1.009582 0.327597 3.0818 0.0021164 **
fesisHawaii.2009 -0.607187 0.167336 -3.6286 0.0003001 ***
fesisHawaii.2016 0.633657 0.218852 2.8954 0.0038730 **
fesisLouisiana.2011 -0.694478 0.181268 -3.8312 0.0001358 ***
fesisLouisiana.2015 0.904990 0.200305 4.5180 7.019e-06 ***
fesisMaine.2011 0.539693 0.137387 3.9283 9.170e-05 ***
fesisMississippi.2004 -1.128150 0.173898 -6.4874 1.397e-10 ***
fesisNebraska.2012 0.600900 0.140305 4.2828 2.031e-05 ***
fesisNevada.2012 -0.690039 0.155438 -4.4393 1.007e-05 ***
fesisNevada.2019 0.902304 0.248387 3.6327 0.0002954 ***
fesisOregon.2004 -0.669301 0.172233 -3.8860 0.0001089 ***
fesisRhodeIsland.2005 -0.666868 0.161559 -4.1277 3.983e-05 ***
fesisSouthCarolina.2008 0.756364 0.141445 5.3474 1.116e-07 ***
fesisSouthDakota.2008 0.986700 0.156535 6.3034 4.435e-10 ***
fesisSouthDakota.2018 -0.767436 0.204875 -3.7459 0.0001905 ***
fesisTennessee.2005 0.467434 0.158796 2.9436 0.0033223 **
fesisWyoming.2003 -0.676889 0.200195 -3.3811 0.0007510 ***
fesisWyoming.2017 -0.676036 0.199279 -3.3924 0.0007211 ***
fesisWyoming.2020 1.604244 0.356598 4.4987 7.673e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.91273 1 0.3394
Ljung-Box ARCH(1) 0.80321 1 0.3701
SE of regression 0.30560
R-squared 0.94623
Log-lik.(n=1071) -194.03742 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:01:47 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -0.549086 1.304662 -0.4209 0.6739618
lpop 0.736337 0.401264 1.8350 0.0668532 .
lgdp_sq 0.024758 0.049468 0.5005 0.6168609
avg_temp 0.018556 0.012204 1.5205 0.1287683
idArizona 1.522388 0.135637 11.2240 < 2.2e-16 ***
idArkansas -0.042304 0.223038 -0.1897 0.8496123
idCalifornia 2.240066 0.699740 3.2013 0.0014197 **
idColorado 2.280445 0.248239 9.1865 < 2.2e-16 ***
idConnecticut 3.101616 0.265829 11.6677 < 2.2e-16 ***
idDelaware 2.958790 0.572169 5.1712 2.910e-07 ***
idDistrictofColumbia 1.855322 0.751906 2.4675 0.0138050 *
idFlorida 0.821452 0.462679 1.7754 0.0761901 .
idGeorgia 0.907508 0.255131 3.5570 0.0003961 ***
idHawaii 0.023116 0.546272 0.0423 0.9662564
idIdaho 1.460923 0.464271 3.1467 0.0017095 **
idIllinois 1.531373 0.377688 4.0546 5.490e-05 ***
idIndiana 0.973118 0.199613 4.8750 1.301e-06 ***
idIowa 0.847577 0.252103 3.3620 0.0008087 ***
idKansas 0.521063 0.215615 2.4166 0.0158770 *
idKentucky 0.382780 0.129009 2.9671 0.0030919 **
idLouisiana 0.149554 0.146764 1.0190 0.3084925
idMaine 1.193236 0.513897 2.3219 0.0204748 *
idMaryland 1.318505 0.180483 7.3054 6.433e-13 ***
idMassachusetts 2.796751 0.272195 10.2748 < 2.2e-16 ***
idMichigan 2.074537 0.342520 6.0567 2.095e-09 ***
idMinnesota 2.229116 0.298366 7.4711 1.998e-13 ***
idMissouri 0.757157 0.161004 4.7027 3.001e-06 ***
idNebraska 0.579546 0.369781 1.5673 0.1174290
idNevada 1.694472 0.281642 6.0164 2.661e-09 ***
idNewHampshire 2.293302 0.492015 4.6610 3.658e-06 ***
idNewJersey 1.689312 0.282381 5.9824 3.254e-09 ***
idNewMexico 1.879327 0.315616 5.9545 3.833e-09 ***
idNewYork 2.151136 0.544707 3.9492 8.501e-05 ***
idNorthCarolina 1.544472 0.251491 6.1413 1.263e-09 ***
idOhio 1.859034 0.341748 5.4398 7.002e-08 ***
idOklahoma 0.769260 0.124885 6.1598 1.129e-09 ***
idOregon 2.524903 0.257273 9.8141 < 2.2e-16 ***
idPennsylvania 1.859490 0.380924 4.8815 1.260e-06 ***
idRhodeIsland 2.328914 0.530228 4.3923 1.265e-05 ***
idSouthCarolina 1.226624 0.121861 10.0658 < 2.2e-16 ***
idSouthDakota 0.868935 0.660747 1.3151 0.1888421
idTennessee 0.317134 0.186864 1.6971 0.0900416 .
idTexas 1.110371 0.560422 1.9813 0.0478822 *
idUtah 1.570628 0.273199 5.7490 1.256e-08 ***
idVermont 1.858525 0.760358 2.4443 0.0147192 *
idVirginia 1.387055 0.235956 5.8784 5.973e-09 ***
idWashington 1.920263 0.274452 6.9967 5.359e-12 ***
idWisconsin 1.761692 0.269309 6.5415 1.058e-10 ***
time2000 -3.648560 8.687095 -0.4200 0.6745947
time2001 -3.587727 8.689496 -0.4129 0.6797994
time2002 -3.488091 8.692907 -0.4013 0.6883330
time2003 -3.433261 8.695209 -0.3948 0.6930576
time2004 -3.422531 8.700571 -0.3934 0.6941473
time2005 -3.164074 8.705731 -0.3634 0.7163624
time2006 -3.098552 8.709925 -0.3557 0.7221176
time2007 -2.906037 8.710221 -0.3336 0.7387382
time2008 -2.828194 8.707062 -0.3248 0.7454012
time2009 -2.650826 8.705284 -0.3045 0.7608166
time2010 -2.680248 8.709136 -0.3078 0.7583479
time2011 -2.720435 8.711674 -0.3123 0.7549094
time2012 -2.778510 8.715467 -0.3188 0.7499558
time2013 -2.793847 8.710641 -0.3207 0.7484877
time2014 -3.065286 8.712348 -0.3518 0.7250523
time2015 -3.068871 8.717974 -0.3520 0.7249143
time2016 -3.137769 8.720100 -0.3598 0.7190635
time2017 -3.184964 8.720369 -0.3652 0.7150298
time2018 -3.137329 8.720540 -0.3598 0.7191148
time2019 -3.303568 8.721492 -0.3788 0.7049435
time2020 -4.250411 8.722353 -0.4873 0.6261724
iis44 1.186998 0.317098 3.7433 0.0001940 ***
iis55 0.903649 0.302251 2.9897 0.0028738 **
iis152 -0.928396 0.309400 -3.0006 0.0027740 **
iis226 -0.877488 0.312560 -2.8074 0.0051098 **
iis228 -1.404911 0.334546 -4.1995 2.962e-05 ***
iis229 -1.685381 0.334490 -5.0387 5.743e-07 ***
iis336 1.071817 0.297509 3.6026 0.0003335 ***
iis343 -1.074992 0.296548 -3.6250 0.0003063 ***
iis485 -1.052646 0.297139 -3.5426 0.0004181 ***
iis513 -0.889794 0.303872 -2.9282 0.0035017 **
iis515 -0.794270 0.304116 -2.6117 0.0091694 **
iis782 1.355076 0.309289 4.3813 1.329e-05 ***
iis787 0.817778 0.305713 2.6750 0.0076188 **
iis884 -0.953170 0.296965 -3.2097 0.0013792 **
fesisArkansas.2006 -0.680353 0.211406 -3.2182 0.0013394 **
fesisArkansas.2009 0.882508 0.188922 4.6713 3.485e-06 ***
fesisConnecticut.2009 -0.555187 0.130669 -4.2488 2.390e-05 ***
fesisDelaware.2014 -0.897092 0.140075 -6.4044 2.512e-10 ***
fesisDistrictofColumbia.2008 -1.015891 0.201514 -5.0413 5.667e-07 ***
fesisDistrictofColumbia.2011 1.166808 0.194069 6.0123 2.727e-09 ***
fesisHawaii.2001 0.999951 0.307266 3.2543 0.0011820 **
fesisHawaii.2009 -0.616310 0.157384 -3.9160 9.735e-05 ***
fesisHawaii.2016 0.650914 0.205245 3.1714 0.0015722 **
fesisLouisiana.2011 -0.699689 0.170194 -4.1111 4.325e-05 ***
fesisLouisiana.2015 0.906486 0.188331 4.8133 1.761e-06 ***
fesisMaine.2011 0.540273 0.129281 4.1790 3.234e-05 ***
fesisNebraska.2012 0.526933 0.138728 3.7983 0.0001562 ***
fesisNevada.2012 -0.732831 0.147274 -4.9760 7.878e-07 ***
fesisNevada.2019 0.961842 0.232967 4.1287 4.013e-05 ***
fesisOregon.2004 -0.670177 0.162459 -4.1252 4.073e-05 ***
fesisRhodeIsland.2005 -0.669029 0.152070 -4.3995 1.225e-05 ***
fesisSouthCarolina.2008 0.736542 0.132786 5.5469 3.899e-08 ***
fesisSouthDakota.2008 0.896772 0.160324 5.5935 3.012e-08 ***
fesisSouthDakota.2018 -0.642972 0.194862 -3.2996 0.0010089 **
fesisTennessee.2005 0.461761 0.148749 3.1043 0.0019713 **
fesisUtah.2016 -0.460655 0.157504 -2.9247 0.0035404 **
fesisWisconsin.2014 0.455637 0.135365 3.3660 0.0007973 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.3997 1 0.23677
Ljung-Box ARCH(1) 2.7238 1 0.09886 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.28592
R-squared 0.94558
Log-lik.(n=945) -104.72881 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Mon Mar 27 00:05:25 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.8286385 1.2794922 -2.2108 0.0273881 *
lpop 0.7991606 0.3924147 2.0365 0.0420885 *
lgdp_sq 0.1061477 0.0479933 2.2117 0.0273207 *
avg_temp 0.0017879 0.0119487 0.1496 0.8811005
idCalifornia 0.7285256 0.5644320 1.2907 0.1972422
idColorado 0.5307503 0.2090028 2.5394 0.0113265 *
idConnecticut 1.4036377 0.2555598 5.4924 5.623e-08 ***
idDelaware 0.9332987 0.5902978 1.5811 0.1143325
idDistrictofColumbia 0.0827699 0.7690344 0.1076 0.9143225
idFlorida -0.4281519 0.3475985 -1.2317 0.2184748
idGeorgia -0.4829839 0.1508301 -3.2022 0.0014281 **
idIdaho -0.8238546 0.4742414 -1.7372 0.0828078 .
idIllinois -0.0170430 0.2567340 -0.0664 0.9470918
idIndiana -0.6726668 0.1317963 -5.1038 4.334e-07 ***
idIowa -1.0124147 0.2672484 -3.7883 0.0001652 ***
idKentucky -1.3151196 0.1469878 -8.9471 < 2.2e-16 ***
idMaryland -0.2552755 0.1233129 -2.0701 0.0388192 *
idMassachusetts 1.1590608 0.1950324 5.9429 4.491e-09 ***
idMichigan 0.3570893 0.2492280 1.4328 0.1523839
idMinnesota 0.4121986 0.2524783 1.6326 0.1030181
idMissouri -0.8617777 0.1067642 -8.0718 3.186e-15 ***
idNevada -0.0913251 0.3099275 -0.2947 0.7683397
idNewHampshire 0.0889982 0.5024943 0.1771 0.8594730
idNewJersey 0.1463257 0.1753847 0.8343 0.4044004
idNewMexico -0.0692176 0.3503734 -0.1976 0.8434536
idNewYork 0.8284440 0.4365474 1.8977 0.0581602 .
idNorthCarolina 0.0703110 0.1429585 0.4918 0.6230011
idOhio 0.2735932 0.2292187 1.1936 0.2330583
idOklahoma -0.8766441 0.1697515 -5.1643 3.181e-07 ***
idOregon 0.0508574 0.2254590 0.2256 0.8216021
idPennsylvania 0.2471707 0.2663081 0.9281 0.3536682
idRhodeIsland 0.0897760 0.5370074 0.1672 0.8672799
idSouthCarolina -0.3601558 0.1481146 -2.4316 0.0152917 *
idTennessee -0.8070995 0.0856527 -9.4229 < 2.2e-16 ***
idTexas -0.2395452 0.4301886 -0.5568 0.5778232
idUtah -0.4038983 0.2885975 -1.3995 0.1621168
idVirginia -0.1407643 0.1351383 -1.0416 0.2979559
idWashington 0.2370515 0.1992047 1.1900 0.2344696
idWisconsin -0.0397203 0.2207459 -0.1799 0.8572563
time2000 14.0862371 8.1920035 1.7195 0.0859805 .
time2001 14.1361611 8.1941073 1.7252 0.0849567 .
time2002 14.2910740 8.1967697 1.7435 0.0817021 .
time2003 14.2892532 8.1976492 1.7431 0.0817736 .
time2004 14.3585813 8.2020321 1.7506 0.0804676 .
time2005 14.5641863 8.2065259 1.7747 0.0763974 .
time2006 14.7453900 8.2103794 1.7959 0.0729510 .
time2007 14.8345805 8.2102761 1.8068 0.0712345 .
time2008 14.9372590 8.2074439 1.8200 0.0692078 .
time2009 15.0864956 8.2049439 1.8387 0.0663979 .
time2010 15.1148519 8.2085538 1.8414 0.0660090 .
time2011 15.1005824 8.2100475 1.8393 0.0663136 .
time2012 15.0335212 8.2142125 1.8302 0.0676639 .
time2013 14.9971350 8.2090104 1.8269 0.0681552 .
time2014 14.6902233 8.2104145 1.7892 0.0740286 .
time2015 14.7502888 8.2157811 1.7954 0.0730441 .
time2016 14.6245190 8.2182310 1.7795 0.0756048 .
time2017 14.6158084 8.2183502 1.7784 0.0757830 .
time2018 14.6644483 8.2181756 1.7844 0.0748097 .
time2019 14.5181698 8.2179961 1.7666 0.0777425 .
time2020 13.5574971 8.2200364 1.6493 0.0995474 .
iis105 -0.7470096 0.2733362 -2.7329 0.0064419 **
iis110 -0.9420704 0.2701878 -3.4867 0.0005207 ***
iis114 -0.7834633 0.2917471 -2.6854 0.0074221 **
iis259 -1.1340127 0.2589581 -4.3791 1.381e-05 ***
iis359 -1.0122685 0.2594416 -3.9017 0.0001051 ***
iis397 -0.7091421 0.2683711 -2.6424 0.0084234 **
iis549 1.1053306 0.2601665 4.2486 2.454e-05 ***
iis550 0.8161732 0.2606722 3.1310 0.0018172 **
iis631 -0.8225512 0.2591745 -3.1737 0.0015734 **
iis634 -0.8965576 0.2593782 -3.4566 0.0005815 ***
iis692 -0.8295480 0.2628971 -3.1554 0.0016741 **
iis695 -0.9289610 0.2592154 -3.5837 0.0003631 ***
fesisConnecticut.2009 -0.5653974 0.1143400 -4.9449 9.629e-07 ***
fesisDelaware.2014 -0.7833498 0.1284882 -6.0967 1.823e-09 ***
fesisDistrictofColumbia.2008 -0.6073745 0.1767351 -3.4366 0.0006252 ***
fesisDistrictofColumbia.2012 0.8621989 0.1719290 5.0149 6.794e-07 ***
fesisNevada.2010 -0.6292925 0.1299019 -4.8444 1.577e-06 ***
fesisNevada.2019 0.7928664 0.2009028 3.9465 8.762e-05 ***
fesisNewYork.2005 -0.4460577 0.1341383 -3.3254 0.0009309 ***
fesisRhodeIsland.2005 -0.6417837 0.1343330 -4.7776 2.179e-06 ***
fesisSouthCarolina.2008 0.7492720 0.1158514 6.4675 1.914e-10 ***
fesisWisconsin.2014 0.4483956 0.1185070 3.7837 0.0001683 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.63112 1 0.2015
Ljung-Box ARCH(1) 0.97949 1 0.3223
SE of regression 0.24898
R-squared 0.94614
Log-lik.(n=756) 19.41498 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 0
Date: Sun Mar 26 23:52:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1071
Sample: 1 to 1071
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -173.839647 23.743146 -7.3217 5.131e-13 ***
lpop 21.517909 7.857243 2.7386 0.0062828 **
lgdp_sq 6.286167 0.985121 6.3811 2.717e-10 ***
avg_temp -0.024337 0.244488 -0.0995 0.9207284
idAlaska -0.970332 15.503298 -0.0626 0.9501068
idArizona 18.049776 2.816097 6.4095 2.273e-10 ***
idArkansas -4.108178 3.868953 -1.0618 0.2885757
idCalifornia 116.355891 15.438775 7.5366 1.103e-13 ***
idColorado 32.041465 4.878563 6.5678 8.305e-11 ***
idConnecticut 52.849024 5.027212 10.5126 < 2.2e-16 ***
idDelaware 14.925191 11.313677 1.3192 0.1874074
idDistrictofColumbia 30.392283 14.682934 2.0699 0.0387249 *
idFlorida 15.792479 9.246269 1.7080 0.0879586 .
idGeorgia 12.269744 5.069713 2.4202 0.0156942 *
idHawaii -0.151160 9.028967 -0.0167 0.9866462
idIdaho -8.335227 9.189451 -0.9070 0.3646089
idIllinois 23.800302 7.443354 3.1975 0.0014309 **
idIndiana 8.207571 3.974591 2.0650 0.0391867 *
idIowa 5.259738 5.129192 1.0255 0.3054053
idKansas 3.605216 4.428015 0.8142 0.4157394
idKentucky 0.897098 2.760316 0.3250 0.7452522
idLouisiana 5.549265 2.638762 2.1030 0.0357240 *
idMaine -8.378734 10.273905 -0.8155 0.4149657
idMaryland 15.345951 3.517506 4.3627 1.422e-05 ***
idMassachusetts 48.932735 5.730490 8.5390 < 2.2e-16 ***
idMichigan 34.415710 6.766832 5.0859 4.388e-07 ***
idMinnesota 27.443237 5.864239 4.6798 3.279e-06 ***
idMississippi -8.034347 3.791856 -2.1188 0.0343569 *
idMissouri 6.016000 3.252983 1.8494 0.0647065 .
idMontana -15.743007 12.006644 -1.3112 0.1901028
idNebraska 3.009035 7.371508 0.4082 0.6832182
idNevada 8.512748 5.304273 1.6049 0.1088439
idNewHampshire 4.654042 9.865143 0.4718 0.6371995
idNewJersey 26.507377 5.491436 4.8270 1.609e-06 ***
idNewMexico 4.489114 6.314296 0.7109 0.4772892
idNewYork 66.373044 10.901539 6.0884 1.640e-09 ***
idNorthCarolina 23.403386 4.979711 4.6997 2.980e-06 ***
idNorthDakota -17.981387 14.564243 -1.2346 0.2172683
idOhio 32.489378 6.733945 4.8247 1.627e-06 ***
idOklahoma 4.607253 2.689293 1.7132 0.0869976 .
idOregon 15.471379 4.563059 3.3906 0.0007255 ***
idPennsylvania 25.783332 7.923748 3.2539 0.0011774 **
idRhodeIsland -4.307630 10.558764 -0.4080 0.6833875
idSouthCarolina 18.465272 2.040843 9.0479 < 2.2e-16 ***
idSouthDakota -10.661499 12.717169 -0.8384 0.4020376
idTennessee 6.583389 3.048079 2.1598 0.0310283 *
idTexas 27.719805 11.277590 2.4580 0.0141467 *
idUtah 6.861015 5.393363 1.2721 0.2036341
idVermont -20.331350 14.923096 -1.3624 0.1733847
idVirginia 18.597458 4.597487 4.0451 5.644e-05 ***
idWashington 26.322530 5.325946 4.9423 9.088e-07 ***
idWestVirginia -9.198380 7.170438 -1.2828 0.1998610
idWisconsin 19.471682 5.338433 3.6475 0.0002789 ***
idWyoming -6.805647 15.457943 -0.4403 0.6598405
time2000 996.202193 161.750238 6.1589 1.071e-09 ***
time2001 997.029124 161.821720 6.1613 1.055e-09 ***
time2002 999.114728 161.862712 6.1726 9.851e-10 ***
time2003 999.904189 161.865168 6.1774 9.568e-10 ***
time2004 1001.624355 161.926271 6.1857 9.097e-10 ***
time2005 1003.921371 161.993259 6.1973 8.474e-10 ***
time2006 1006.491736 162.088082 6.2095 7.863e-10 ***
time2007 1008.352621 162.090129 6.2209 7.333e-10 ***
time2008 1010.286096 162.061640 6.2340 6.770e-10 ***
time2009 1013.397190 162.094249 6.2519 6.063e-10 ***
time2010 1014.383437 162.172053 6.2550 5.949e-10 ***
time2011 1013.492433 162.210206 6.2480 6.209e-10 ***
time2012 1012.406314 162.290683 6.2382 6.594e-10 ***
time2013 1011.833543 162.155723 6.2399 6.528e-10 ***
time2014 1007.790921 162.171322 6.2144 7.634e-10 ***
time2015 1008.558828 162.281479 6.2149 7.610e-10 ***
time2016 1006.729553 162.340502 6.2013 8.267e-10 ***
time2017 1007.475374 162.332848 6.2062 8.024e-10 ***
time2018 1007.450832 162.290254 6.2077 7.951e-10 ***
time2019 1005.870319 162.268309 6.1988 8.396e-10 ***
time2020 997.170380 162.367057 6.1415 1.190e-09 ***
iis85 -72.253787 9.427735 -7.6640 4.356e-14 ***
iis86 -46.745558 9.425537 -4.9595 8.340e-07 ***
iis87 -54.388869 9.418837 -5.7745 1.038e-08 ***
iis88 -53.507737 9.418476 -5.6811 1.767e-08 ***
iis89 -24.778486 9.406539 -2.6342 0.0085682 **
iis92 39.502726 7.457722 5.2969 1.457e-07 ***
iis93 87.056601 7.450347 11.6849 < 2.2e-16 ***
iis94 119.945499 7.460277 16.0779 < 2.2e-16 ***
iis95 87.646053 7.469076 11.7345 < 2.2e-16 ***
iis96 77.532533 7.474198 10.3734 < 2.2e-16 ***
iis97 64.259629 7.461188 8.6125 < 2.2e-16 ***
iis98 57.109061 7.437206 7.6788 3.905e-14 ***
iis105 -140.895202 7.680583 -18.3443 < 2.2e-16 ***
iis450 28.386999 7.109274 3.9930 7.017e-05 ***
iis693 -34.933368 7.438931 -4.6960 3.034e-06 ***
fesisCalifornia.2006 79.794177 7.492126 10.6504 < 2.2e-16 ***
fesisCalifornia.2017 -41.262296 5.166510 -7.9865 3.906e-15 ***
fesisConnecticut.2013 -19.784585 3.033061 -6.5230 1.107e-10 ***
fesisMassachusetts.2006 32.722215 3.738906 8.7518 < 2.2e-16 ***
fesisMassachusetts.2014 -26.994156 3.575324 -7.5501 9.999e-14 ***
fesisNewYork.2016 -19.707860 3.840399 -5.1317 3.466e-07 ***
fesisNorthDakota.2012 18.916494 3.823981 4.9468 8.886e-07 ***
fesisPennsylvania.2007 29.265085 3.584766 8.1637 1.001e-15 ***
fesisPennsylvania.2014 -29.756674 3.577567 -8.3176 3.010e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 192.37 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 111.12 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.58252
R-squared 0.96801
Log-lik.(n=1071) -3488.39465 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 0
Date: Sun Mar 26 23:50:02 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 945
Sample: 1 to 945
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -176.245763 30.023060 -5.8703 6.229e-09 ***
lpop 18.116729 8.734277 2.0742 0.0383599 *
lgdp_sq 6.567803 1.207662 5.4384 7.027e-08 ***
avg_temp 0.028904 0.296768 0.0974 0.9224359
idArizona 17.444948 3.078434 5.6668 1.991e-08 ***
idArkansas -3.307541 4.274947 -0.7737 0.4393212
idCalifornia 99.300329 16.144536 6.1507 1.186e-09 ***
idColorado 31.290625 5.808351 5.3872 9.268e-08 ***
idConnecticut 53.195957 5.995201 8.8731 < 2.2e-16 ***
idDelaware 14.189516 12.479999 1.1370 0.2558664
idDistrictofColumbia 26.163534 16.177090 1.6173 0.1061798
idFlorida 12.941193 10.162383 1.2734 0.2032094
idGeorgia 10.370166 5.585725 1.8565 0.0637209 .
idHawaii -1.114160 10.200826 -0.1092 0.9130517
idIdaho -6.404263 10.479041 -0.6111 0.5412636
idIllinois 21.277042 8.389608 2.5361 0.0113867 *
idIndiana 7.644021 4.614610 1.6565 0.0979928 .
idIowa 5.439245 5.878849 0.9252 0.3551124
idKansas 3.598232 4.910195 0.7328 0.4638771
idKentucky 1.216223 3.093844 0.3931 0.6943362
idLouisiana 4.230347 2.912946 1.4523 0.1467986
idMaine -6.572551 11.687704 -0.5623 0.5740274
idMaryland 13.948987 4.049181 3.4449 0.0005992 ***
idMassachusetts 47.550068 6.650564 7.1498 1.872e-12 ***
idMichigan 33.893945 7.862469 4.3109 1.816e-05 ***
idMinnesota 26.879681 7.037513 3.8195 0.0001434 ***
idMissouri 5.520238 3.722717 1.4829 0.1384840
idNebraska 3.202723 8.228396 0.3892 0.6972048
idNevada 8.617502 5.960507 1.4458 0.1486109
idNewHampshire 5.501707 11.093651 0.4959 0.6200698
idNewJersey 24.277686 6.262642 3.8766 0.0001141 ***
idNewMexico 5.295652 7.034449 0.7528 0.4517682
idNewYork 62.510466 12.322888 5.0727 4.816e-07 ***
idNorthCarolina 21.914654 5.527497 3.9647 7.967e-05 ***
idOhio 30.982222 7.626853 4.0623 5.309e-05 ***
idOklahoma 4.484921 2.904775 1.5440 0.1229643
idOregon 15.872247 5.333027 2.9762 0.0030009 **
idPennsylvania 24.509509 8.970553 2.7322 0.0064213 **
idRhodeIsland -3.476829 11.807692 -0.2945 0.7684824
idSouthCarolina 18.513014 2.148837 8.6154 < 2.2e-16 ***
idSouthDakota -9.560757 14.303676 -0.6684 0.5040516
idTennessee 5.935001 3.402551 1.7443 0.0814714 .
idTexas 23.361043 12.403163 1.8835 0.0599769 .
idUtah 7.390288 6.123544 1.2069 0.2278197
idVermont -18.752460 16.917865 -1.1084 0.2679845
idVirginia 16.835190 5.213069 3.2294 0.0012880 **
idWashington 24.899126 6.290693 3.9581 8.186e-05 ***
idWisconsin 19.391395 6.384449 3.0373 0.0024600 **
time2000 1009.453997 201.138589 5.0187 6.336e-07 ***
time2001 1010.257627 201.215443 5.0208 6.270e-07 ***
time2002 1012.336087 201.265995 5.0298 5.989e-07 ***
time2003 1013.021879 201.273853 5.0331 5.892e-07 ***
time2004 1014.496399 201.365993 5.0381 5.744e-07 ***
time2005 1017.343857 201.443131 5.0503 5.399e-07 ***
time2006 1019.226989 201.538420 5.0572 5.211e-07 ***
time2007 1021.490519 201.532558 5.0686 4.918e-07 ***
time2008 1023.657887 201.495465 5.0803 4.633e-07 ***
time2009 1027.680389 201.503218 5.1001 4.187e-07 ***
time2010 1028.634508 201.598640 5.1024 4.138e-07 ***
time2011 1027.409707 201.639036 5.0953 4.291e-07 ***
time2012 1026.362665 201.756809 5.0871 4.474e-07 ***
time2013 1025.479998 201.596034 5.0868 4.481e-07 ***
time2014 1020.772292 201.614653 5.0630 5.061e-07 ***
time2015 1021.488828 201.748433 5.0632 5.056e-07 ***
time2016 1019.542754 201.837322 5.0513 5.371e-07 ***
time2017 1020.242817 201.830977 5.0549 5.272e-07 ***
time2018 1020.088057 201.795201 5.0551 5.269e-07 ***
time2019 1018.257492 201.780724 5.0464 5.507e-07 ***
time2020 1008.574903 201.879804 4.9959 7.107e-07 ***
iis64 -59.526300 8.604792 -6.9178 9.015e-12 ***
iis65 -33.949075 8.602693 -3.9463 8.590e-05 ***
iis66 -41.631132 8.595267 -4.8435 1.515e-06 ***
iis67 -40.860067 8.593718 -4.7546 2.334e-06 ***
iis70 51.998691 8.295222 6.2685 5.788e-10 ***
iis71 81.474089 8.260623 9.8629 < 2.2e-16 ***
iis72 128.769510 8.250107 15.6082 < 2.2e-16 ***
iis73 160.973783 8.282680 19.4350 < 2.2e-16 ***
iis74 128.681744 8.270569 15.5590 < 2.2e-16 ***
iis75 118.868247 8.266610 14.3793 < 2.2e-16 ***
iis76 105.335659 8.236705 12.7886 < 2.2e-16 ***
iis77 98.354302 8.198176 11.9971 < 2.2e-16 ***
iis78 40.345982 8.229411 4.9027 1.132e-06 ***
iis79 37.454179 8.133418 4.6050 4.755e-06 ***
iis80 37.269735 8.110122 4.5955 4.971e-06 ***
iis84 -139.811622 8.093878 -17.2738 < 2.2e-16 ***
iis429 28.802590 7.491680 3.8446 0.0001297 ***
iis630 -33.606848 7.839566 -4.2868 2.020e-05 ***
fesisCalifornia.2006 49.817883 6.750533 7.3798 3.770e-13 ***
fesisConnecticut.2009 -16.283117 3.142962 -5.1808 2.760e-07 ***
fesisMassachusetts.2006 31.571813 3.944811 8.0034 3.956e-15 ***
fesisMassachusetts.2014 -26.363943 3.766785 -6.9991 5.224e-12 ***
fesisNewYork.2016 -19.893782 4.059625 -4.9004 1.145e-06 ***
fesisPennsylvania.2007 28.126915 3.780081 7.4408 2.448e-13 ***
fesisPennsylvania.2014 -28.952330 3.770858 -7.6779 4.436e-14 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 170.229 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 92.886 1 < 2.2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.92679
R-squared 0.96778
Log-lik.(n=945) -3122.84625 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 0
Date: Sun Mar 26 23:53:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 756
Sample: 1 to 756
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -216.247104 42.958122 -5.0339 6.168e-07 ***
lpop 19.583986 10.632157 1.8420 0.0659185 .
lgdp_sq 8.364344 1.662096 5.0324 6.214e-07 ***
avg_temp 0.034432 0.380949 0.0904 0.9280077
idCalifornia 19.993621 16.756476 1.1932 0.2332138
idColorado 14.055231 6.524758 2.1541 0.0315816 *
idConnecticut 27.924275 7.224886 3.8650 0.0001218 ***
idDelaware 2.992999 16.496765 0.1814 0.8560848
idDistrictofColumbia 15.141215 20.823727 0.7271 0.4674077
idFlorida -13.740507 10.291483 -1.3351 0.1822813
idGeorgia -10.830084 4.559568 -2.3752 0.0178149 *
idIdaho -18.389541 14.187966 -1.2961 0.1953701
idIllinois -3.599542 7.708469 -0.4670 0.6406792
idIndiana -10.335221 4.170384 -2.4782 0.0134459 *
idIowa -8.640046 8.000906 -1.0799 0.2805786
idKentucky -13.834928 4.439867 -3.1161 0.0019103 **
idMaryland -4.220224 3.752633 -1.1246 0.2611557
idMassachusetts 28.417443 6.615991 4.2953 2.000e-05 ***
idMichigan 13.054917 7.613061 1.7148 0.0868386 .
idMinnesota 9.350277 7.969998 1.1732 0.2411345
idMissouri -11.790920 3.346899 -3.5229 0.0004555 ***
idNevada -4.902517 8.421239 -0.5822 0.5606521
idNewHampshire -6.184032 14.751104 -0.4192 0.6751847
idNewJersey 2.429452 5.370686 0.4524 0.6511588
idNewMexico -7.153517 10.193738 -0.7018 0.4830725
idNewYork 31.294220 12.664106 2.4711 0.0137150 *
idNorthCarolina 1.077195 4.262329 0.2527 0.8005578
idOhio 8.266134 6.830433 1.2102 0.2266277
idOklahoma -10.214122 4.932818 -2.0706 0.0387703 *
idOregon 1.037286 6.923229 0.1498 0.8809458
idPennsylvania 9.734839 7.963979 1.2224 0.2219974
idRhodeIsland -15.032843 15.798444 -0.9515 0.3416702
idSouthCarolina 3.233538 3.767995 0.8582 0.3911086
idTennessee -11.695954 2.643624 -4.4242 1.128e-05 ***
idTexas -8.738287 12.877966 -0.6785 0.4976577
idUtah -6.110504 8.558438 -0.7140 0.4754892
idVirginia -3.592369 4.134330 -0.8689 0.3852033
idWashington 5.293991 6.239624 0.8484 0.3964889
idWisconsin 2.181029 7.050425 0.3093 0.7571526
time2000 1232.598503 274.171776 4.4957 8.156e-06 ***
time2001 1234.033651 274.243906 4.4998 8.006e-06 ***
time2002 1236.243403 274.287648 4.5071 7.742e-06 ***
time2003 1236.589003 274.301765 4.5081 7.706e-06 ***
time2004 1237.957172 274.440635 4.5108 7.611e-06 ***
time2005 1240.824962 274.536289 4.5197 7.308e-06 ***
time2006 1243.185479 274.652744 4.5264 7.088e-06 ***
time2007 1246.160557 274.638491 4.5375 6.736e-06 ***
time2008 1249.694646 274.571860 4.5514 6.316e-06 ***
time2009 1253.304110 274.516457 4.5655 5.919e-06 ***
time2010 1254.512167 274.617979 4.5682 5.845e-06 ***
time2011 1252.714063 274.656854 4.5610 6.043e-06 ***
time2012 1251.138202 274.780565 4.5532 6.264e-06 ***
time2013 1250.377398 274.608732 4.5533 6.262e-06 ***
time2014 1243.615806 274.640358 4.5282 7.030e-06 ***
time2015 1244.291119 274.796560 4.5280 7.034e-06 ***
time2016 1241.520577 274.891529 4.5164 7.420e-06 ***
time2017 1242.290298 274.884963 4.5193 7.322e-06 ***
time2018 1241.921007 274.873297 4.5182 7.360e-06 ***
time2019 1240.093098 274.884579 4.5113 7.594e-06 ***
time2020 1227.411738 274.935795 4.4644 9.407e-06 ***
iis28 100.612783 9.765961 10.3024 < 2.2e-16 ***
iis29 129.132424 9.762842 13.2269 < 2.2e-16 ***
iis30 174.925060 9.773509 17.8979 < 2.2e-16 ***
iis31 207.926195 9.763127 21.2971 < 2.2e-16 ***
iis32 175.127387 9.774532 17.9167 < 2.2e-16 ***
iis33 165.710711 9.790832 16.9251 < 2.2e-16 ***
iis34 152.393512 9.793784 15.5602 < 2.2e-16 ***
iis35 144.897910 9.810544 14.7696 < 2.2e-16 ***
iis36 88.486067 9.928841 8.9120 < 2.2e-16 ***
iis37 85.071034 9.888552 8.6030 < 2.2e-16 ***
iis38 85.329641 9.925956 8.5966 < 2.2e-16 ***
iis39 55.624117 9.999951 5.5624 3.833e-08 ***
iis40 55.260398 10.078856 5.4828 5.914e-08 ***
iis41 30.286697 10.146669 2.9849 0.0029390 **
iis42 -89.847726 10.118910 -8.8792 < 2.2e-16 ***
fesisCalifornia.2004 43.010895 6.922703 6.2130 9.078e-10 ***
fesisMassachusetts.2006 32.721066 4.357914 7.5084 1.894e-13 ***
fesisMassachusetts.2014 -27.578095 4.142594 -6.6572 5.771e-11 ***
fesisNewYork.2016 -25.507251 4.237154 -6.0199 2.860e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 128.621 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 55.077 1 1.159e-13 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.84514
R-squared 0.96464
Log-lik.(n=756) -2590.49766 AR1
Ihs Patent Count
0.01
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:14:04 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.019074 0.028916 0.6596 0.5096505
lgdp 50.380694 3.690418 13.6518 < 2.2e-16 ***
lpop -39.613917 2.273062 -17.4276 < 2.2e-16 ***
lgdp_sq -1.830075 0.220054 -8.3165 3.283e-16 ***
avg_temp -0.063897 0.089415 -0.7146 0.4750331
idAlaska -0.796288 0.174284 -4.5689 5.578e-06 ***
idArizona 1.903561 0.130671 14.5676 < 2.2e-16 ***
idArkansas 0.884278 0.380006 2.3270 0.0201833 *
idCalifornia 4.173524 0.170702 24.4491 < 2.2e-16 ***
idColorado 2.252950 0.135064 16.6807 < 2.2e-16 ***
idConnecticut 2.893930 0.177418 16.3113 < 2.2e-16 ***
idDelaware 1.757921 0.142069 12.3737 < 2.2e-16 ***
idDistrictofColumbia 0.216523 0.172481 1.2553 0.2096762
idFlorida 2.345285 0.136321 17.2042 < 2.2e-16 ***
idGeorgia 1.655659 0.127894 12.9456 < 2.2e-16 ***
idHawaii 0.141390 0.122345 1.1557 0.2481241
idIdaho 0.286037 0.117676 2.4307 0.0152610 *
idIllinois 2.362110 0.136976 17.2447 < 2.2e-16 ***
idIndiana 1.197654 0.122689 9.7617 < 2.2e-16 ***
idIowa 0.272706 0.117625 2.3184 0.0206469 *
idKansas -0.019323 0.117321 -0.1647 0.8692158
idKentucky 0.179184 0.118953 1.5063 0.1323274
idLouisiana 0.113721 0.117414 0.9685 0.3330288
idMaine 0.191079 0.118895 1.6071 0.1083725
idMaryland 1.535412 0.125893 12.1962 < 2.2e-16 ***
idMassachusetts 3.038116 0.148278 20.4893 < 2.2e-16 ***
idMichigan 2.572753 0.140442 18.3189 < 2.2e-16 ***
idMinnesota 2.145976 0.134036 16.0104 < 2.2e-16 ***
idMississippi -1.227179 0.128317 -9.5637 < 2.2e-16 ***
idMissouri 0.928943 0.121591 7.6399 5.502e-14 ***
idMontana -0.617057 0.118549 -5.2051 2.397e-07 ***
idNebraska -0.650784 0.145603 -4.4696 8.826e-06 ***
idNevada 0.886146 0.120400 7.3600 4.111e-13 ***
idNewHampshire 1.066159 0.122133 8.7295 < 2.2e-16 ***
idNewJersey 2.236596 0.135136 16.5507 < 2.2e-16 ***
idNewMexico 1.202397 0.122950 9.7796 < 2.2e-16 ***
idNewYork 3.261397 0.152716 21.3560 < 2.2e-16 ***
idNorthCarolina 2.246451 0.135129 16.6245 < 2.2e-16 ***
idNorthDakota -0.757478 0.121757 -6.2212 7.514e-10 ***
idOhio 2.579687 0.140929 18.3049 < 2.2e-16 ***
idOklahoma 0.647998 0.118829 5.4532 6.376e-08 ***
idOregon 1.706828 0.128090 13.3253 < 2.2e-16 ***
idPennsylvania 2.641543 0.141661 18.6470 < 2.2e-16 ***
idRhodeIsland 1.222128 0.206057 5.9310 4.273e-09 ***
idSouthCarolina 1.330287 0.167759 7.9297 6.414e-15 ***
idSouthDakota -0.994212 0.231375 -4.2970 1.918e-05 ***
idTennessee 1.035226 0.122253 8.4679 < 2.2e-16 ***
idTexas 2.789460 0.143887 19.3865 < 2.2e-16 ***
idUtah 0.885998 0.120517 7.3517 4.360e-13 ***
idVermont -0.061984 0.117320 -0.5283 0.5973975
idVirginia 1.845607 0.129610 14.2397 < 2.2e-16 ***
idWashington 2.137756 0.133449 16.0193 < 2.2e-16 ***
idWestVirginia -0.769000 0.119275 -6.4473 1.845e-10 ***
idWisconsin 1.910537 0.130171 14.6771 < 2.2e-16 ***
idWyoming -0.441469 0.126854 -3.4801 0.0005249 ***
time2001 -2.796206 0.575464 -4.8590 1.389e-06 ***
time2002 -2.688232 0.533579 -5.0381 5.670e-07 ***
time2003 -2.583384 0.462749 -5.5827 3.126e-08 ***
time2004 -2.729814 0.329796 -8.2773 4.462e-16 ***
time2005 -2.379763 0.253069 -9.4036 < 2.2e-16 ***
time2006 -1.740122 0.203913 -8.5336 < 2.2e-16 ***
time2007 -1.208997 0.177097 -6.8268 1.585e-11 ***
time2008 -0.814112 0.217637 -3.7407 0.0001950 ***
time2009 -0.114294 0.257257 -0.4443 0.6569458
time2010 -0.065233 0.230503 -0.2830 0.7772398
time2011 0.039727 0.168189 0.2362 0.8133275
time2012 0.153991 0.153871 1.0008 0.3171987
time2013 -0.047213 0.205264 -0.2300 0.8181352
time2014 -0.206631 0.250061 -0.8263 0.4088372
time2015 0.103765 0.120943 0.8580 0.3911371
time2016 0.044282 0.109911 0.4029 0.6871214
iis17 -1.187407 0.379672 -3.1275 0.0018193 **
iis75 -1.459675 0.387977 -3.7623 0.0001791 ***
iis79 -1.565092 0.388756 -4.0259 6.148e-05 ***
iis164 -1.329543 0.399724 -3.3261 0.0009158 ***
iis168 -1.211812 0.429861 -2.8191 0.0049207 **
iis235 -1.699714 0.380613 -4.4657 8.982e-06 ***
iis237 -1.575378 0.382148 -4.1224 4.092e-05 ***
iis238 -1.791913 0.382284 -4.6874 3.190e-06 ***
iis346 -1.469578 0.379484 -3.8726 0.0001154 ***
iis384 -1.347022 0.379918 -3.5456 0.0004117 ***
iis481 1.386250 0.381498 3.6337 0.0002950 ***
iis482 2.027382 0.383003 5.2934 1.506e-07 ***
iis483 1.780332 0.385157 4.6223 4.342e-06 ***
iis501 -1.370882 0.379613 -3.6113 0.0003214 ***
iis548 -1.111002 0.389964 -2.8490 0.0044848 **
iis687 -1.197759 0.380949 -3.1441 0.0017198 **
iis829 1.027913 0.386266 2.6612 0.0079245 **
iis839 -1.628325 0.386425 -4.2138 2.761e-05 ***
iis843 -1.246098 0.379553 -3.2831 0.0010660 **
iis1002 1.203170 0.382050 3.1492 0.0016903 **
fesisAlaska.2007 -1.188477 0.207581 -5.7254 1.401e-08 ***
fesisAlaska.2014 0.768037 0.198037 3.8783 0.0001128 ***
fesisArkansas.2002 -1.556412 0.413664 -3.7625 0.0001790 ***
fesisArkansas.2006 -0.865953 0.282690 -3.0633 0.0022539 **
fesisArkansas.2009 1.518966 0.243887 6.2282 7.202e-10 ***
fesisConnecticut.2009 -0.605754 0.169841 -3.5666 0.0003805 ***
fesisDelaware.2014 -0.827115 0.183714 -4.5022 7.598e-06 ***
fesisDelaware.2020 -1.195272 0.399563 -2.9914 0.0028515 **
fesisDistrictofColumbia.2008 -0.680644 0.262891 -2.5891 0.0097770 **
fesisDistrictofColumbia.2012 0.980313 0.250622 3.9115 9.854e-05 ***
fesisMississippi.2020 1.526418 0.381401 4.0021 6.788e-05 ***
fesisNebraska.2012 0.774605 0.172102 4.5008 7.646e-06 ***
fesisRhodeIsland.2005 -0.896023 0.208246 -4.3027 1.870e-05 ***
fesisSouthCarolina.2008 0.823653 0.175107 4.7037 2.951e-06 ***
fesisSouthDakota.2004 1.689649 0.427221 3.9550 8.249e-05 ***
fesisSouthDakota.2005 -1.835290 0.427249 -4.2956 1.930e-05 ***
fesisSouthDakota.2008 1.198002 0.241569 4.9592 8.442e-07 ***
fesisWyoming.2017 -0.963831 0.235794 -4.0876 4.744e-05 ***
fesisWyoming.2020 1.948370 0.427297 4.5598 5.821e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.082864 1 0.773454
Ljung-Box ARCH(1) 7.193671 1 0.007316 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.36611
R-squared 0.94128
Log-lik.(n=1020) -367.40855 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:18:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0239121 0.0298801 0.8003 0.4237944
lgdp 57.5247978 3.5671729 16.1262 < 2.2e-16 ***
lpop -44.4666086 2.1589340 -20.5966 < 2.2e-16 ***
lgdp_sq -2.1215720 0.2134996 -9.9371 < 2.2e-16 ***
avg_temp -0.1026811 0.0860950 -1.1926 0.2333630
idArizona 1.8915866 0.1213102 15.5930 < 2.2e-16 ***
idArkansas 0.8874350 0.3431175 2.5864 0.0098757 **
idCalifornia 4.1504309 0.1661113 24.9858 < 2.2e-16 ***
idColorado 2.2394061 0.1263399 17.7252 < 2.2e-16 ***
idConnecticut 2.9009937 0.1663522 17.4389 < 2.2e-16 ***
idDelaware 1.7540564 0.1310689 13.3827 < 2.2e-16 ***
idDistrictofColumbia 0.0047333 0.1346482 0.0352 0.9719663
idFlorida 2.3313228 0.1277725 18.2459 < 2.2e-16 ***
idGeorgia 1.6447919 0.1181096 13.9260 < 2.2e-16 ***
idHawaii 0.3955794 0.1399975 2.8256 0.0048374 **
idIdaho 0.3393721 0.1075880 3.1544 0.0016691 **
idIllinois 2.3479342 0.1285188 18.2692 < 2.2e-16 ***
idIndiana 1.1892996 0.1120650 10.6126 < 2.2e-16 ***
idIowa 0.2144950 0.1076127 1.9932 0.0465800 *
idKansas -0.0828311 0.1071419 -0.7731 0.4396948
idKentucky 0.1728113 0.1072665 1.6110 0.1075672
idLouisiana 0.2278078 0.1298206 1.7548 0.0796810 .
idMaine 0.2464072 0.1086861 2.2671 0.0236495 *
idMaryland 1.5254242 0.1157932 13.1737 < 2.2e-16 ***
idMassachusetts 3.0205980 0.1412721 21.3814 < 2.2e-16 ***
idMichigan 2.5574895 0.1324511 19.3089 < 2.2e-16 ***
idMinnesota 2.1327833 0.1251668 17.0395 < 2.2e-16 ***
idMissouri 0.9222261 0.1103449 8.3577 2.849e-16 ***
idNebraska -0.5349447 0.1365041 -3.9189 9.663e-05 ***
idNevada 1.0891394 0.1306414 8.3369 3.349e-16 ***
idNewHampshire 1.0581315 0.1114150 9.4972 < 2.2e-16 ***
idNewJersey 2.2230276 0.1264224 17.5841 < 2.2e-16 ***
idNewMexico 1.1938957 0.1123691 10.6248 < 2.2e-16 ***
idNewYork 3.2426927 0.1462315 22.1751 < 2.2e-16 ***
idNorthCarolina 2.2328855 0.1264147 17.6632 < 2.2e-16 ***
idOhio 2.5642760 0.1330015 19.2801 < 2.2e-16 ***
idOklahoma 0.6424913 0.1075377 5.9746 3.481e-09 ***
idOregon 2.3947247 0.2183618 10.9668 < 2.2e-16 ***
idPennsylvania 2.6259120 0.1338285 19.6215 < 2.2e-16 ***
idRhodeIsland 1.2362702 0.1871178 6.6069 7.189e-11 ***
idSouthCarolina 1.3444735 0.1530199 8.7863 < 2.2e-16 ***
idSouthDakota -1.0421200 0.1573426 -6.6233 6.474e-11 ***
idTennessee 1.0254099 0.1111381 9.2265 < 2.2e-16 ***
idTexas 2.7731753 0.1363394 20.3402 < 2.2e-16 ***
idUtah 0.8790363 0.1095217 8.0261 3.613e-15 ***
idVermont -0.0643018 0.1057608 -0.6080 0.5433662
idVirginia 1.8340424 0.1200894 15.2723 < 2.2e-16 ***
idWashington 2.1247684 0.1244956 17.0670 < 2.2e-16 ***
idWisconsin 1.8987535 0.1207349 15.7266 < 2.2e-16 ***
time2001 -3.3189900 0.5576481 -5.9518 3.978e-09 ***
time2002 -3.1919395 0.5168288 -6.1760 1.049e-09 ***
time2003 -3.1382404 0.4486038 -6.9956 5.616e-12 ***
time2004 -3.2123947 0.3199340 -10.0408 < 2.2e-16 ***
time2005 -2.7662973 0.2450167 -11.2902 < 2.2e-16 ***
time2006 -2.1273944 0.1971674 -10.7898 < 2.2e-16 ***
time2007 -1.5270887 0.1710328 -8.9286 < 2.2e-16 ***
time2008 -1.1272774 0.2107159 -5.3497 1.153e-07 ***
time2009 -0.3812735 0.2487736 -1.5326 0.1257697
time2010 -0.2670732 0.2229371 -1.1980 0.2312840
time2011 -0.1273744 0.1625702 -0.7835 0.4335651
time2012 0.0845766 0.1484669 0.5697 0.5690651
time2013 -0.1762375 0.1978779 -0.8906 0.3733934
time2014 -0.3691200 0.2409702 -1.5318 0.1259682
time2015 0.0400579 0.1164811 0.3439 0.7310120
time2016 0.0455975 0.1057538 0.4312 0.6664644
iis17 -1.2362128 0.3427541 -3.6067 0.0003295 ***
iis46 -1.6649063 0.3512129 -4.7404 2.527e-06 ***
iis47 -1.3509427 0.3519723 -3.8382 0.0001338 ***
iis48 -1.3512831 0.3512410 -3.8472 0.0001291 ***
iis55 -1.4618643 0.3502738 -4.1735 3.331e-05 ***
iis59 -1.5520531 0.3511068 -4.4205 1.122e-05 ***
iis144 -1.0982291 0.3527255 -3.1136 0.0019148 **
iis148 -1.6590430 0.3535382 -4.6927 3.175e-06 ***
iis215 -1.9411198 0.3864023 -5.0236 6.268e-07 ***
iis217 -1.8492782 0.3905291 -4.7353 2.590e-06 ***
iis218 -2.0598399 0.3856125 -5.3417 1.203e-07 ***
iis221 -1.1442567 0.3428108 -3.3379 0.0008836 ***
iis282 1.0889152 0.3435973 3.1692 0.0015874 **
iis326 -1.4050621 0.3426257 -4.1009 4.540e-05 ***
iis364 -1.3794284 0.3434210 -4.0167 6.462e-05 ***
iis370 -1.1294709 0.3433423 -3.2896 0.0010474 **
iis461 -1.3692432 0.3427407 -3.9950 7.071e-05 ***
iis488 -1.2044179 0.3544529 -3.3980 0.0007127 ***
iis490 -0.9784457 0.3520484 -2.7793 0.0055765 **
iis744 1.7624148 0.3607183 4.8858 1.246e-06 ***
iis749 0.9638154 0.3518808 2.7390 0.0063000 **
iis763 -1.1922663 0.3425717 -3.4803 0.0005281 ***
fesisArkansas.2002 -1.5447839 0.3734334 -4.1367 3.899e-05 ***
fesisArkansas.2006 0.6207334 0.1978040 3.1381 0.0017632 **
fesisConnecticut.2009 -0.6427252 0.1538459 -4.1777 3.271e-05 ***
fesisDelaware.2014 -1.0152696 0.1583442 -6.4118 2.467e-10 ***
fesisDistrictofColumbia.2012 0.4853782 0.1599014 3.0355 0.0024799 **
fesisHawaii.2009 -0.6901935 0.1807016 -3.8195 0.0001441 ***
fesisHawaii.2015 0.6578419 0.2380219 2.7638 0.0058458 **
fesisKansas.2020 1.2247968 0.3427241 3.5737 0.0003732 ***
fesisLouisiana.2011 -0.8506458 0.1990747 -4.2730 2.163e-05 ***
fesisLouisiana.2015 1.0270015 0.2168880 4.7352 2.592e-06 ***
fesisNebraska.2012 0.6350739 0.1597602 3.9752 7.674e-05 ***
fesisNevada.2012 -0.7161137 0.1626418 -4.4030 1.214e-05 ***
fesisNevada.2019 1.1238210 0.2678528 4.1957 3.028e-05 ***
fesisOregon.2004 -0.8221716 0.2102190 -3.9110 9.977e-05 ***
fesisRhodeIsland.2005 -0.8329253 0.1910162 -4.3605 1.468e-05 ***
fesisRhodeIsland.2019 -0.6991780 0.2529237 -2.7644 0.0058352 **
fesisSouthCarolina.2008 0.7839174 0.1583766 4.9497 9.080e-07 ***
fesisSouthDakota.2008 1.1853834 0.1782223 6.6512 5.412e-11 ***
fesisSouthDakota.2018 -0.9552586 0.2232071 -4.2797 2.100e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.055732 1 0.8134
Ljung-Box ARCH(1) 1.949523 1 0.1626
SE of regression 0.33003
R-squared 0.94252
Log-lik.(n=900) -226.32598 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:17:53 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 6.7582e-02 3.2905e-02 2.0538 0.0403961 *
lgdp -1.1582e+02 1.8532e+01 -6.2495 7.509e-10 ***
lpop 1.0886e+02 1.4519e+01 7.4980 2.166e-13 ***
lgdp_sq 2.9932e+00 6.2166e-01 4.8148 1.840e-06 ***
avg_temp 3.7837e-01 1.0847e-01 3.4883 0.0005194 ***
idCalifornia 2.1585e+00 1.1394e-01 18.9433 < 2.2e-16 ***
idColorado 3.3366e-01 8.5896e-02 3.8844 0.0001132 ***
idConnecticut 9.4782e-01 1.1834e-01 8.0092 5.454e-15 ***
idDelaware -1.3677e-01 9.6478e-02 -1.4177 0.1567746
idDistrictofColumbia -1.5768e+00 1.4406e-01 -10.9458 < 2.2e-16 ***
idFlorida 4.2179e-01 8.6296e-02 4.8877 1.290e-06 ***
idGeorgia -2.3680e-01 8.5563e-02 -2.7675 0.0058120 **
idIdaho -1.4756e+00 1.0221e-01 -14.4366 < 2.2e-16 ***
idIllinois 4.3647e-01 8.6536e-02 5.0438 5.948e-07 ***
idIndiana -6.6960e-01 8.8718e-02 -7.5476 1.529e-13 ***
idIowa -2.4516e+00 2.8797e-01 -8.5134 < 2.2e-16 ***
idKentucky -1.5807e+00 1.0645e-01 -14.8484 < 2.2e-16 ***
idMaryland -3.4822e-01 8.6296e-02 -4.0352 6.114e-05 ***
idMassachusetts 1.0790e+00 9.3199e-02 11.5770 < 2.2e-16 ***
idMichigan 6.3621e-01 8.8118e-02 7.2200 1.478e-12 ***
idMinnesota 2.3020e-01 8.5633e-02 2.6883 0.0073691 **
idMissouri -9.1703e-01 9.3712e-02 -9.7856 < 2.2e-16 ***
idNevada -7.7830e-01 1.0483e-01 -7.4247 3.615e-13 ***
idNewHampshire -7.9783e-01 8.9359e-02 -8.9283 < 2.2e-16 ***
idNewJersey 3.1706e-01 8.5917e-02 3.6903 0.0002431 ***
idNewMexico -6.6634e-01 8.8445e-02 -7.5339 1.683e-13 ***
idNewYork 1.2904e+00 9.6745e-02 13.3377 < 2.2e-16 ***
idNorthCarolina 3.2694e-01 8.5915e-02 3.8053 0.0001552 ***
idOhio 6.4167e-01 8.8378e-02 7.2604 1.121e-12 ***
idOklahoma -1.1907e+00 9.5917e-02 -12.4140 < 2.2e-16 ***
idOregon 4.3654e-01 1.6921e-01 2.5798 0.0101061 *
idPennsylvania 7.0132e-01 8.8785e-02 7.8991 1.225e-14 ***
idRhodeIsland -5.6459e-01 1.7129e-01 -3.2961 0.0010344 **
idSouthCarolina -5.4446e-01 1.2071e-01 -4.5106 7.690e-06 ***
idTennessee -8.2337e-01 9.2375e-02 -8.9134 < 2.2e-16 ***
idTexas 8.4268e-01 9.0132e-02 9.3495 < 2.2e-16 ***
idUtah -9.1510e-01 9.2957e-02 -9.8442 < 2.2e-16 ***
idVirginia 3.8397e-03 8.6415e-02 0.0444 0.9645731
idWashington 2.2403e-01 8.5509e-02 2.6200 0.0090011 **
idWisconsin 8.8965e-03 8.5241e-02 0.1044 0.9169088
time2001 1.7157e+01 3.3272e+00 5.1565 3.356e-07 ***
time2002 1.6224e+01 3.1066e+00 5.2223 2.392e-07 ***
time2003 1.6145e+01 2.9175e+00 5.5338 4.572e-08 ***
time2004 1.5827e+01 2.8433e+00 5.5663 3.827e-08 ***
time2005 1.5146e+01 2.5166e+00 6.0186 2.961e-09 ***
time2006 1.3663e+01 2.1861e+00 6.2496 7.504e-10 ***
time2007 1.2408e+01 1.8998e+00 6.5310 1.331e-10 ***
time2008 1.0580e+01 1.7198e+00 6.1517 1.350e-09 ***
time2009 5.9239e+00 1.2668e+00 4.6763 3.564e-06 ***
time2010 5.5441e+00 1.2297e+00 4.5086 7.759e-06 ***
time2011 5.3350e+00 1.1579e+00 4.6073 4.923e-06 ***
time2012 4.0598e+00 8.4154e-01 4.8242 1.758e-06 ***
time2013 3.6668e+00 8.7296e-01 4.2005 3.041e-05 ***
time2014 1.5855e+00 5.0970e-01 3.1107 0.0019493 **
time2015 1.0528e+00 4.0008e-01 2.6315 0.0087045 **
time2016 2.2733e-01 2.1479e-01 1.0584 0.2902919
iis104 -1.4019e+00 2.9568e-01 -4.7414 2.617e-06 ***
iis108 -1.0502e+00 3.4029e-01 -3.0861 0.0021155 **
iis161 -1.2150e+00 2.8124e-01 -4.3200 1.808e-05 ***
iis222 9.8110e-01 2.8238e-01 3.4744 0.0005465 ***
iis241 -1.0588e+00 2.8172e-01 -3.7583 0.0001867 ***
iis246 -1.5146e+00 2.8091e-01 -5.3919 9.816e-08 ***
iis341 -1.4518e+00 2.8111e-01 -5.1647 3.219e-07 ***
iis378 -8.3898e-01 2.9547e-01 -2.8395 0.0046615 **
iis603 -1.1727e+00 2.8062e-01 -4.1789 3.336e-05 ***
iis659 -1.0439e+00 2.8064e-01 -3.7199 0.0002168 ***
iis661 -1.1536e+00 2.8122e-01 -4.1022 4.619e-05 ***
fesisConnecticut.2009 -5.8740e-01 1.2659e-01 -4.6401 4.224e-06 ***
fesisDelaware.2014 -8.0565e-01 1.3712e-01 -5.8757 6.769e-09 ***
fesisDelaware.2020 -1.1179e+00 2.9537e-01 -3.7847 0.0001683 ***
fesisDistrictofColumbia.2008 -8.4860e-01 2.2585e-01 -3.7575 0.0001873 ***
fesisDistrictofColumbia.2011 1.0535e+00 2.1766e-01 4.8401 1.628e-06 ***
fesisIowa.2002 8.9895e-01 2.8177e-01 3.1904 0.0014902 **
fesisNevada.2012 -5.3908e-01 1.4039e-01 -3.8398 0.0001353 ***
fesisNevada.2019 9.6545e-01 2.2337e-01 4.3223 1.790e-05 ***
fesisOregon.2004 -7.3293e-01 1.7276e-01 -4.2425 2.537e-05 ***
fesisRhodeIsland.2004 -8.1414e-01 1.7413e-01 -4.6756 3.576e-06 ***
fesisRhodeIsland.2019 -7.4687e-01 2.0671e-01 -3.6131 0.0003263 ***
fesisSouthCarolina.2008 7.8447e-01 1.3079e-01 5.9978 3.342e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.70269 1 0.4019
Ljung-Box ARCH(1) 1.29751 1 0.2547
SE of regression 0.26952
R-squared 0.94680
Log-lik.(n=720) -38.14395 0.05
us_all
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:14:01 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.010941 0.026082 0.4195 0.6749635
lgdp 53.327528 3.233205 16.4937 < 2.2e-16 ***
lpop -41.365939 1.983414 -20.8559 < 2.2e-16 ***
lgdp_sq -1.936686 0.192007 -10.0865 < 2.2e-16 ***
avg_temp -0.154836 0.077038 -2.0099 0.0447571 *
idAlaska -0.231492 0.258842 -0.8943 0.3713917
idArizona 2.642537 0.235573 11.2175 < 2.2e-16 ***
idArkansas 1.366884 0.309439 4.4173 1.127e-05 ***
idCalifornia 4.931192 0.255462 19.3030 < 2.2e-16 ***
idColorado 2.994564 0.237566 12.6052 < 2.2e-16 ***
idConnecticut 3.646513 0.256408 14.2215 < 2.2e-16 ***
idDelaware 2.494535 0.239815 10.4019 < 2.2e-16 ***
idDistrictofColumbia 0.942524 0.252011 3.7400 0.0001962 ***
idFlorida 3.087603 0.238145 12.9652 < 2.2e-16 ***
idGeorgia 2.392773 0.234340 10.2107 < 2.2e-16 ***
idHawaii 1.104609 0.244325 4.5211 7.013e-06 ***
idIdaho -0.136241 0.377284 -0.3611 0.7181058
idIllinois 3.104788 0.238449 13.0207 < 2.2e-16 ***
idIndiana 1.930542 0.232089 8.3181 3.471e-16 ***
idIowa 0.098346 0.377286 0.2607 0.7944122
idKansas 0.800703 0.232657 3.4416 0.0006062 ***
idKentucky 0.902225 0.230447 3.9151 9.750e-05 ***
idLouisiana 0.940935 0.239671 3.9259 9.329e-05 ***
idMaine 0.784769 0.244350 3.2117 0.0013686 **
idMaryland 2.271047 0.233466 9.7275 < 2.2e-16 ***
idMassachusetts 3.786413 0.243857 15.5272 < 2.2e-16 ***
idMichigan 3.317259 0.240074 13.8177 < 2.2e-16 ***
idMinnesota 2.887000 0.237095 12.1765 < 2.2e-16 ***
idMississippi -0.209058 0.254126 -0.8227 0.4109323
idMissouri 1.661872 0.231785 7.1699 1.615e-12 ***
idMontana 0.049370 0.230955 0.2138 0.8307804
idNebraska 0.862260 0.377521 2.2840 0.0226134 *
idNevada 1.815742 0.239831 7.5709 9.531e-14 ***
idNewHampshire 1.798500 0.231854 7.7570 2.452e-14 ***
idNewJersey 2.978251 0.237599 12.5348 < 2.2e-16 ***
idNewMexico 1.935533 0.232200 8.3356 3.027e-16 ***
idNewYork 4.011687 0.246064 16.3034 < 2.2e-16 ***
idNorthCarolina 2.988102 0.237596 12.5764 < 2.2e-16 ***
idNorthDakota -0.181824 0.258853 -0.7024 0.4826056
idOhio 3.324441 0.240305 13.8343 < 2.2e-16 ***
idOklahoma 1.376099 0.230477 5.9707 3.451e-09 ***
idOregon 2.444079 0.234427 10.4258 < 2.2e-16 ***
idPennsylvania 3.386666 0.240652 14.0729 < 2.2e-16 ***
idRhodeIsland 1.925693 0.268778 7.1646 1.674e-12 ***
idSouthCarolina 2.066010 0.250341 8.2528 5.771e-16 ***
idSouthDakota -0.228190 0.258900 -0.8814 0.3783567
idTennessee 1.764967 0.231817 7.6136 6.996e-14 ***
idTexas 3.535682 0.241718 14.6273 < 2.2e-16 ***
idUtah 1.616545 0.231175 6.9927 5.405e-12 ***
idVermont 0.737011 0.244842 3.0102 0.0026873 **
idVirginia 1.496078 0.379694 3.9402 8.799e-05 ***
idWashington 2.878436 0.236827 12.1541 < 2.2e-16 ***
idWestVirginia 0.177580 0.236762 0.7500 0.4534370
idWisconsin 2.649191 0.235350 11.2564 < 2.2e-16 ***
idWyoming 0.352556 0.232440 1.5168 0.1296926
time2001 -2.996700 0.499419 -6.0004 2.896e-09 ***
time2002 -2.824583 0.463551 -6.0934 1.665e-09 ***
time2003 -2.892503 0.401517 -7.2039 1.276e-12 ***
time2004 -2.962454 0.286930 -10.3247 < 2.2e-16 ***
time2005 -2.679745 0.220103 -12.1750 < 2.2e-16 ***
time2006 -1.909146 0.178102 -10.7194 < 2.2e-16 ***
time2007 -1.368130 0.154215 -8.8716 < 2.2e-16 ***
time2008 -1.077149 0.187964 -5.7306 1.383e-08 ***
time2009 -0.341627 0.222091 -1.5382 0.1243595
time2010 -0.244407 0.198897 -1.2288 0.2194759
time2011 -0.077996 0.145904 -0.5346 0.5930867
time2012 0.137050 0.133285 1.0283 0.3041192
time2013 -0.215701 0.176704 -1.2207 0.2225379
time2014 -0.453714 0.214903 -2.1112 0.0350386 *
time2015 0.069528 0.103976 0.6687 0.5038669
time2016 0.068111 0.095061 0.7165 0.4738738
iis4 -1.194503 0.321385 -3.7167 0.0002148 ***
iis10 -1.241798 0.321091 -3.8674 0.0001183 ***
iis17 -1.460328 0.321446 -4.5430 6.336e-06 ***
iis23 0.871269 0.339974 2.5628 0.0105534 *
iis62 -1.885034 0.382873 -4.9234 1.019e-06 ***
iis63 -1.594420 0.380000 -4.1958 3.000e-05 ***
iis64 -1.626769 0.380005 -4.2809 2.070e-05 ***
iis66 -1.805881 0.328147 -5.5033 4.918e-08 ***
iis67 -1.479730 0.328401 -4.5059 7.522e-06 ***
iis68 -1.469739 0.327655 -4.4856 8.254e-06 ***
iis75 -1.553012 0.326972 -4.7497 2.386e-06 ***
iis77 -1.042545 0.327518 -3.1832 0.0015090 **
iis79 -1.617845 0.327888 -4.9341 9.662e-07 ***
iis164 -1.344912 0.335303 -4.0110 6.570e-05 ***
iis168 -1.161611 0.360842 -3.2192 0.0013337 **
iis235 -1.349813 0.328917 -4.1038 4.450e-05 ***
iis236 1.262582 0.330634 3.8187 0.0001438 ***
iis237 -1.215294 0.330841 -3.6733 0.0002542 ***
iis238 -1.498371 0.330353 -4.5357 6.555e-06 ***
iis322 -0.980052 0.319980 -3.0629 0.0022605 **
iis326 -0.923241 0.319890 -2.8861 0.0039976 **
iis331 -1.049045 0.319753 -3.2808 0.0010767 **
iis346 -1.447706 0.318412 -4.5466 6.230e-06 ***
iis379 0.825636 0.339785 2.4299 0.0153072 *
iis384 -1.235789 0.329149 -3.7545 0.0001853 ***
iis390 -1.291813 0.325413 -3.9698 7.794e-05 ***
iis481 1.029056 0.335289 3.0692 0.0022138 **
iis482 1.664551 0.335980 4.9543 8.736e-07 ***
iis483 1.512428 0.337307 4.4838 8.322e-06 ***
iis493 -0.677770 0.326873 -2.0735 0.0384224 *
iis501 -1.429499 0.318588 -4.4870 8.203e-06 ***
iis531 1.031504 0.318324 3.2404 0.0012393 **
iis548 -1.406792 0.342128 -4.1119 4.300e-05 ***
iis550 -1.215360 0.339931 -3.5753 0.0003693 ***
iis578 -0.814970 0.335150 -2.4317 0.0152327 *
iis687 -1.120162 0.325429 -3.4421 0.0006050 ***
iis691 -0.982037 0.324011 -3.0309 0.0025114 **
iis817 0.652858 0.322975 2.0214 0.0435482 *
iis824 1.625295 0.339889 4.7818 2.042e-06 ***
iis826 -0.710780 0.339918 -2.0910 0.0368175 *
iis829 1.019642 0.328870 3.1004 0.0019952 **
iis837 0.648232 0.329459 1.9676 0.0494386 *
iis839 -1.074236 0.379904 -2.8276 0.0047978 **
iis843 -1.224507 0.318358 -3.8463 0.0001287 ***
iis902 -1.062725 0.329134 -3.2289 0.0012899 **
iis973 -0.871061 0.336273 -2.5903 0.0097500 **
iis976 -0.761556 0.334963 -2.2736 0.0232379 *
fesisAlabama.2003 0.999479 0.234823 4.2563 2.306e-05 ***
fesisAlabama.2020 -0.822472 0.322538 -2.5500 0.0109444 *
fesisAlaska.2007 -1.041748 0.183687 -5.6713 1.934e-08 ***
fesisAlaska.2014 0.769432 0.166191 4.6298 4.223e-06 ***
fesisArkansas.2006 -0.570626 0.242976 -2.3485 0.0190747 *
fesisConnecticut.2009 -0.619621 0.142865 -4.3371 1.614e-05 ***
fesisDelaware.2014 -0.835838 0.154493 -5.4102 8.161e-08 ***
fesisDelaware.2020 -1.154875 0.335277 -3.4445 0.0005996 ***
fesisDistrictofColumbia.2008 -0.694550 0.220761 -3.1462 0.0017111 **
fesisDistrictofColumbia.2012 0.991412 0.210622 4.7071 2.927e-06 ***
fesisHawaii.2009 -0.591271 0.155839 -3.7941 0.0001585 ***
fesisIdaho.2002 1.208043 0.318680 3.7908 0.0001606 ***
fesisIowa.2002 1.839494 0.439033 4.1899 3.079e-05 ***
fesisIowa.2003 -0.942205 0.319772 -2.9465 0.0033006 **
fesisKansas.2020 1.004970 0.320089 3.1397 0.0017491 **
fesisLouisiana.2011 -0.829189 0.184787 -4.4873 8.192e-06 ***
fesisLouisiana.2015 0.900718 0.209212 4.3053 1.859e-05 ***
fesisMaine.2010 0.343333 0.148065 2.3188 0.0206395 *
fesisMississippi.2010 -0.412281 0.164606 -2.5047 0.0124408 *
fesisMississippi.2020 1.669431 0.327217 5.1019 4.137e-07 ***
fesisNebraska.2002 -1.338563 0.358413 -3.7347 0.0002003 ***
fesisNebraska.2005 0.882262 0.226795 3.8901 0.0001079 ***
fesisNebraska.2012 0.455331 0.189684 2.4005 0.0165850 *
fesisNebraska.2018 -0.986363 0.335415 -2.9407 0.0033620 **
fesisNebraska.2019 1.397238 0.380204 3.6750 0.0002526 ***
fesisNevada.2012 -0.567551 0.158555 -3.5795 0.0003635 ***
fesisNevada.2019 0.969530 0.253414 3.8259 0.0001397 ***
fesisNorthDakota.2006 1.122952 0.340254 3.3003 0.0010054 **
fesisNorthDakota.2007 -1.006774 0.324425 -3.1033 0.0019764 **
fesisNorthDakota.2020 0.958434 0.324278 2.9556 0.0032057 **
fesisRhodeIsland.2005 -0.865793 0.175075 -4.9453 9.141e-07 ***
fesisSouthCarolina.2008 0.777576 0.149219 5.2110 2.352e-07 ***
fesisSouthDakota.2008 1.044951 0.179016 5.8372 7.512e-09 ***
fesisSouthDakota.2018 -0.556060 0.245793 -2.2623 0.0239261 *
fesisVermont.2010 0.646835 0.210450 3.0736 0.0021817 **
fesisVermont.2013 -0.947193 0.210535 -4.4990 7.764e-06 ***
fesisVirginia.2002 1.145069 0.318663 3.5934 0.0003449 ***
fesisWestVirginia.2013 -0.370516 0.156497 -2.3676 0.0181260 *
fesisWyoming.2017 -1.048488 0.197166 -5.3178 1.339e-07 ***
fesisWyoming.2020 1.991781 0.358521 5.5556 3.688e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.098093 1 0.7541
Ljung-Box ARCH(1) 1.746387 1 0.1863
SE of regression 0.30691
R-squared 0.96091
Log-lik.(n=1020) -163.50330 us_q20
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:18:14 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.035553 0.026891 1.3221 0.1865362
lgdp 56.730970 3.210324 17.6714 < 2.2e-16 ***
lpop -44.346658 1.933041 -22.9414 < 2.2e-16 ***
lgdp_sq -2.052466 0.193273 -10.6195 < 2.2e-16 ***
avg_temp -0.139002 0.078196 -1.7776 0.0758654 .
idArizona 2.580602 0.224036 11.5187 < 2.2e-16 ***
idArkansas -0.329833 0.267340 -1.2338 0.2176695
idCalifornia 4.812694 0.246007 19.5633 < 2.2e-16 ***
idColorado 2.924646 0.226244 12.9270 < 2.2e-16 ***
idConnecticut 3.570688 0.244897 14.5804 < 2.2e-16 ***
idDelaware 2.443175 0.227920 10.7194 < 2.2e-16 ***
idDistrictofColumbia 0.807691 0.231566 3.4880 0.0005144 ***
idFlorida 3.015556 0.226886 13.2910 < 2.2e-16 ***
idGeorgia 2.336472 0.222669 10.4930 < 2.2e-16 ***
idHawaii 1.098021 0.231385 4.7454 2.481e-06 ***
idIdaho 1.051135 0.218684 4.8066 1.847e-06 ***
idIllinois 3.031652 0.227223 13.3422 < 2.2e-16 ***
idIndiana 1.887027 0.220176 8.5705 < 2.2e-16 ***
idIowa 0.078082 0.357150 0.2186 0.8270000
idKansas 0.779482 0.220414 3.5364 0.0004299 ***
idKentucky 0.883088 0.218295 4.0454 5.752e-05 ***
idLouisiana 0.932393 0.227019 4.1071 4.436e-05 ***
idMaine 0.960716 0.218818 4.3905 1.290e-05 ***
idMaryland 2.219221 0.221700 10.0100 < 2.2e-16 ***
idMassachusetts 3.696274 0.233209 15.8496 < 2.2e-16 ***
idMichigan 3.238590 0.229023 14.1409 < 2.2e-16 ***
idMinnesota 2.818868 0.225722 12.4882 < 2.2e-16 ***
idMissouri 1.627513 0.219738 7.4066 3.417e-13 ***
idNebraska 0.520605 0.267708 1.9447 0.0521791 .
idNevada 1.783925 0.227507 7.8412 1.492e-14 ***
idNewHampshire 1.756644 0.219916 7.9878 5.019e-15 ***
idNewJersey 2.908209 0.226281 12.8522 < 2.2e-16 ***
idNewMexico 1.891269 0.220299 8.5850 < 2.2e-16 ***
idNewYork 3.915515 0.235649 16.6159 < 2.2e-16 ***
idNorthCarolina 2.918072 0.226277 12.8960 < 2.2e-16 ***
idOhio 3.245022 0.229278 14.1532 < 2.2e-16 ***
idOklahoma 1.347071 0.218400 6.1679 1.118e-09 ***
idOregon 2.773221 0.299955 9.2454 < 2.2e-16 ***
idPennsylvania 3.306129 0.229663 14.3956 < 2.2e-16 ***
idRhodeIsland 1.885696 0.254797 7.4008 3.560e-13 ***
idSouthCarolina 2.026349 0.237541 8.5305 < 2.2e-16 ***
idSouthDakota -0.213948 0.245251 -0.8724 0.3832838
idTennessee 1.727424 0.219790 7.8594 1.304e-14 ***
idTexas 3.451820 0.230843 14.9531 < 2.2e-16 ***
idUtah 1.580115 0.219167 7.2097 1.345e-12 ***
idVermont 0.290810 0.252706 1.1508 0.2501791
idVirginia 1.434143 0.359960 3.9842 7.416e-05 ***
idWashington 2.811345 0.225426 12.4713 < 2.2e-16 ***
idWisconsin 2.588230 0.223788 11.5656 < 2.2e-16 ***
time2001 -3.090748 0.505646 -6.1125 1.560e-09 ***
time2002 -2.978320 0.469005 -6.3503 3.676e-10 ***
time2003 -3.007880 0.406096 -7.4068 3.411e-13 ***
time2004 -3.094820 0.289307 -10.6974 < 2.2e-16 ***
time2005 -2.785218 0.220865 -12.6105 < 2.2e-16 ***
time2006 -2.084188 0.178317 -11.6881 < 2.2e-16 ***
time2007 -1.537873 0.154608 -9.9469 < 2.2e-16 ***
time2008 -1.172483 0.189937 -6.1730 1.084e-09 ***
time2009 -0.387966 0.224859 -1.7254 0.0848621 .
time2010 -0.274437 0.201618 -1.3612 0.1738580
time2011 -0.116800 0.147239 -0.7933 0.4278663
time2012 0.116868 0.135092 0.8651 0.3872554
time2013 -0.223509 0.178808 -1.2500 0.2116819
time2014 -0.430761 0.217895 -1.9769 0.0484087 *
time2015 0.078426 0.105416 0.7440 0.4571215
time2016 0.056193 0.096020 0.5852 0.5585678
iis4 -1.213253 0.304638 -3.9826 7.464e-05 ***
iis10 -1.234259 0.304336 -4.0556 5.512e-05 ***
iis17 -1.496039 0.304644 -4.9108 1.109e-06 ***
iis41 1.873925 0.339734 5.5159 4.745e-08 ***
iis46 -1.827001 0.312590 -5.8447 7.498e-09 ***
iis47 -1.438179 0.313416 -4.5887 5.208e-06 ***
iis48 -1.455656 0.312693 -4.6552 3.812e-06 ***
iis55 -1.624249 0.311678 -5.2113 2.412e-07 ***
iis59 -1.716289 0.362690 -4.7321 2.645e-06 ***
iis144 -1.244447 0.312448 -3.9829 7.455e-05 ***
iis148 -1.722568 0.313013 -5.5032 5.086e-08 ***
iis150 -0.796735 0.311969 -2.5539 0.0108447 *
iis215 -1.380284 0.311634 -4.4292 1.083e-05 ***
iis216 1.271216 0.313430 4.0558 5.506e-05 ***
iis217 -1.276178 0.313827 -4.0665 5.265e-05 ***
iis218 -1.491619 0.313289 -4.7612 2.301e-06 ***
iis221 -1.209531 0.301964 -4.0056 6.789e-05 ***
iis282 1.000436 0.303141 3.3002 0.0010106 **
iis302 -0.933679 0.303172 -3.0797 0.0021459 **
iis306 -0.875796 0.303067 -2.8898 0.0039638 **
iis311 -1.040953 0.302792 -3.4378 0.0006179 ***
iis326 -1.405463 0.301672 -4.6589 3.746e-06 ***
iis359 0.801648 0.321976 2.4898 0.0129928 *
iis364 -1.428824 0.302406 -4.7248 2.738e-06 ***
iis370 -1.142772 0.302322 -3.7800 0.0001690 ***
iis461 -1.437686 0.301894 -4.7622 2.289e-06 ***
iis482 -0.904123 0.340274 -2.6570 0.0080466 **
iis483 -1.059623 0.339495 -3.1212 0.0018688 **
iis484 -0.988871 0.339913 -2.9092 0.0037284 **
iis488 -1.423566 0.319330 -4.4580 9.507e-06 ***
iis490 -1.224156 0.317525 -3.8553 0.0001253 ***
iis498 -1.472905 0.328708 -4.4809 8.565e-06 ***
iis518 -0.823257 0.317570 -2.5924 0.0097131 **
iis662 0.780000 0.360487 2.1637 0.0307921 *
iis737 0.626846 0.306063 2.0481 0.0408903 *
iis744 1.603813 0.322105 4.9792 7.890e-07 ***
iis746 -0.684960 0.322043 -2.1269 0.0337450 *
iis757 0.880462 0.312083 2.8212 0.0049073 **
iis759 -1.405348 0.311915 -4.5055 7.651e-06 ***
iis763 -1.218805 0.301562 -4.0416 5.843e-05 ***
fesisAlabama.2003 0.985186 0.222516 4.4275 1.092e-05 ***
fesisAlabama.2020 -0.786869 0.305526 -2.5755 0.0101968 *
fesisArkansas.2005 1.160586 0.199239 5.8251 8.392e-09 ***
fesisArkansas.2017 -1.121135 0.312210 -3.5910 0.0003504 ***
fesisArkansas.2018 1.128268 0.361973 3.1170 0.0018951 **
fesisConnecticut.2009 -0.623134 0.135533 -4.5976 4.995e-06 ***
fesisDelaware.2014 -1.001681 0.139468 -7.1821 1.624e-12 ***
fesisDistrictofColumbia.2012 0.392594 0.144864 2.7101 0.0068766 **
fesisHawaii.2009 -0.590368 0.147731 -3.9962 7.056e-05 ***
fesisIowa.2002 0.894321 0.302473 2.9567 0.0032048 **
fesisKansas.2020 1.076374 0.303063 3.5516 0.0004062 ***
fesisLouisiana.2011 -0.833478 0.175367 -4.7528 2.395e-06 ***
fesisLouisiana.2015 0.883772 0.198435 4.4537 9.693e-06 ***
fesisNebraska.2007 0.685191 0.339373 2.0190 0.0438352 *
fesisNebraska.2008 -0.780235 0.317588 -2.4568 0.0142400 *
fesisNebraska.2016 0.875174 0.191442 4.5715 5.643e-06 ***
fesisNevada.2012 -0.583470 0.150421 -3.8789 0.0001139 ***
fesisNevada.2019 1.003552 0.240051 4.1806 3.242e-05 ***
fesisOregon.2004 -0.499833 0.221254 -2.2591 0.0241574 *
fesisRhodeIsland.2005 -0.762386 0.168332 -4.5291 6.866e-06 ***
fesisRhodeIsland.2019 -0.706919 0.222586 -3.1759 0.0015533 **
fesisSouthCarolina.2008 0.747916 0.141439 5.2879 1.614e-07 ***
fesisSouthDakota.2008 1.649704 0.216204 7.6303 6.945e-14 ***
fesisSouthDakota.2011 -0.882646 0.199057 -4.4341 1.059e-05 ***
fesisVermont.2005 0.767726 0.180945 4.2429 2.476e-05 ***
fesisVermont.2013 -0.642603 0.147588 -4.3540 1.518e-05 ***
fesisVirginia.2002 1.147265 0.301948 3.7995 0.0001564 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00097541 1 0.9751
Ljung-Box ARCH(1) 0.00161584 1 0.9679
SE of regression 0.29040
R-squared 0.95696
Log-lik.(n=900) -98.19093 us_q30
Formula: ihs_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:17:53 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 9.2476e-02 3.1762e-02 2.9116 0.0037243 **
lgdp -1.1896e+02 1.7681e+01 -6.7282 3.883e-11 ***
lpop 1.1152e+02 1.3836e+01 8.0601 3.875e-15 ***
lgdp_sq 3.0853e+00 5.9405e-01 5.1936 2.794e-07 ***
avg_temp 3.9959e-01 1.0329e-01 3.8688 0.0001208 ***
idCalifornia 2.1013e+00 1.0891e-01 19.2941 < 2.2e-16 ***
idColorado 3.2558e-01 8.1477e-02 3.9960 7.209e-05 ***
idConnecticut 9.2608e-01 1.1243e-01 8.2368 1.035e-15 ***
idDelaware -1.3875e-01 9.1528e-02 -1.5159 0.1300406
idDistrictofColumbia -1.5217e+00 1.3717e-01 -11.0940 < 2.2e-16 ***
idFlorida 4.1157e-01 8.1870e-02 5.0271 6.510e-07 ***
idGeorgia -2.3110e-01 8.1150e-02 -2.8478 0.0045474 **
idIdaho -1.4355e+00 9.7450e-02 -14.7302 < 2.2e-16 ***
idIllinois 4.2514e-01 8.2106e-02 5.1780 3.027e-07 ***
idIndiana -6.5097e-01 8.4247e-02 -7.7269 4.398e-14 ***
idIowa -2.1186e+00 1.9715e-01 -10.7462 < 2.2e-16 ***
idKentucky -1.5371e+00 1.0155e-01 -15.1362 < 2.2e-16 ***
idMaryland -3.3800e-01 8.1870e-02 -4.1285 4.147e-05 ***
idMassachusetts 1.0504e+00 8.8641e-02 11.8506 < 2.2e-16 ***
idMichigan 6.1929e-01 8.3659e-02 7.4025 4.328e-13 ***
idMinnesota 2.2394e-01 8.1218e-02 2.7572 0.0059997 **
idMissouri -8.9075e-01 8.9125e-02 -9.9944 < 2.2e-16 ***
idNevada -7.6424e-01 9.9569e-02 -7.6754 6.355e-14 ***
idNewHampshire -7.3856e-01 8.5997e-02 -8.5882 < 2.2e-16 ***
idNewJersey 3.0886e-01 8.1498e-02 3.7898 0.0001654 ***
idNewMexico -4.9946e-01 1.0904e-01 -4.5804 5.602e-06 ***
idNewYork 1.2557e+00 9.2112e-02 13.6326 < 2.2e-16 ***
idNorthCarolina 3.1875e-01 8.1496e-02 3.9112 0.0001019 ***
idOhio 6.2398e-01 8.3914e-02 7.4360 3.431e-13 ***
idOklahoma -1.1574e+00 9.1301e-02 -12.6769 < 2.2e-16 ***
idOregon 1.7543e-01 1.9291e-01 0.9094 0.3634819
idPennsylvania 6.8250e-01 8.4313e-02 8.0949 2.994e-15 ***
idRhodeIsland -5.3893e-01 1.6252e-01 -3.3161 0.0009657 ***
idSouthCarolina 9.0281e-02 2.6652e-01 0.3387 0.7349220
idTennessee -7.9728e-01 8.7806e-02 -9.0800 < 2.2e-16 ***
idTexas 8.2050e-01 8.5634e-02 9.5816 < 2.2e-16 ***
idUtah -8.4785e-01 8.9589e-02 -9.4638 < 2.2e-16 ***
idVirginia 4.4453e-03 8.1950e-02 0.0542 0.9567579
idWashington 2.1882e-01 8.1097e-02 2.6983 0.0071584 **
idWisconsin -1.3499e-01 9.1520e-02 -1.4750 0.1407251
time2001 1.7669e+01 3.1786e+00 5.5588 4.024e-08 ***
time2002 1.6713e+01 2.9678e+00 5.6317 2.697e-08 ***
time2003 1.6648e+01 2.7865e+00 5.9745 3.873e-09 ***
time2004 1.6293e+01 2.7148e+00 6.0015 3.310e-09 ***
time2005 1.5589e+01 2.4020e+00 6.4898 1.749e-10 ***
time2006 1.4031e+01 2.0863e+00 6.7253 3.956e-11 ***
time2007 1.2748e+01 1.8128e+00 7.0322 5.339e-12 ***
time2008 1.0883e+01 1.6415e+00 6.6299 7.264e-11 ***
time2009 6.1533e+00 1.2117e+00 5.0784 5.029e-07 ***
time2010 5.7445e+00 1.1760e+00 4.8846 1.318e-06 ***
time2011 5.5280e+00 1.1072e+00 4.9926 7.735e-07 ***
time2012 4.1773e+00 8.0542e-01 5.1865 2.898e-07 ***
time2013 3.8121e+00 8.3521e-01 4.5642 6.037e-06 ***
time2014 1.6734e+00 4.8902e-01 3.4219 0.0006624 ***
time2015 1.0880e+00 3.8372e-01 2.8355 0.0047239 **
time2016 2.5662e-01 2.0672e-01 1.2414 0.2149091
iis104 -1.4023e+00 2.8049e-01 -4.9993 7.480e-07 ***
iis108 -1.0668e+00 3.2299e-01 -3.3029 0.0010114 **
iis161 -1.1841e+00 2.6678e-01 -4.4386 1.070e-05 ***
iis222 1.6233e+00 3.1973e-01 5.0772 5.059e-07 ***
iis241 -1.0421e+00 2.6730e-01 -3.8985 0.0001073 ***
iis246 -1.4944e+00 2.6652e-01 -5.6072 3.087e-08 ***
iis341 -1.4278e+00 2.6668e-01 -5.3539 1.210e-07 ***
iis373 -5.8698e-01 2.8989e-01 -2.0249 0.0433041 *
iis374 -5.8662e-01 2.9036e-01 -2.0203 0.0437746 *
iis378 -1.8368e+00 3.1782e-01 -5.7795 1.182e-08 ***
iis389 -7.7915e-01 2.6612e-01 -2.9278 0.0035376 **
iis522 7.7164e-01 3.1835e-01 2.4239 0.0156368 *
iis566 7.1272e-01 2.6774e-01 2.6620 0.0079672 **
iis597 6.4387e-01 2.6996e-01 2.3850 0.0173748 *
iis603 -1.1953e+00 2.6620e-01 -4.4903 8.468e-06 ***
iis656 -8.1512e-01 2.6650e-01 -3.0586 0.0023188 **
iis659 -1.0578e+00 2.6653e-01 -3.9687 8.065e-05 ***
iis661 -1.1235e+00 2.6676e-01 -4.2117 2.907e-05 ***
fesisConnecticut.2009 -5.7812e-01 1.2022e-01 -4.8091 1.901e-06 ***
fesisDelaware.2014 -7.7432e-01 1.3016e-01 -5.9489 4.492e-09 ***
fesisDelaware.2020 -1.0898e+00 2.8009e-01 -3.8910 0.0001105 ***
fesisDistrictofColumbia.2008 -8.5926e-01 2.1443e-01 -4.0072 6.884e-05 ***
fesisDistrictofColumbia.2011 1.0727e+00 2.3937e-01 4.4812 8.827e-06 ***
fesisDistrictofColumbia.2014 -7.4222e-01 3.0044e-01 -2.4704 0.0137601 *
fesisDistrictofColumbia.2015 1.1139e+00 3.1793e-01 3.5037 0.0004915 ***
fesisDistrictofColumbia.2017 -1.0802e+00 3.1840e-01 -3.3925 0.0007363 ***
fesisDistrictofColumbia.2018 8.7675e-01 2.9980e-01 2.9245 0.0035753 **
fesisIowa.2004 1.2521e+00 3.1833e-01 3.9333 9.317e-05 ***
fesisIowa.2005 -6.6639e-01 2.6751e-01 -2.4911 0.0129927 *
fesisNevada.2012 -3.2510e-01 1.5260e-01 -2.1305 0.0335201 *
fesisNevada.2018 8.0673e-01 2.2469e-01 3.5904 0.0003561 ***
fesisNewMexico.2009 -6.3415e-01 1.7613e-01 -3.6004 0.0003429 ***
fesisNewMexico.2012 5.1441e-01 1.7301e-01 2.9733 0.0030592 **
fesisOregon.2004 -4.6493e-01 1.9612e-01 -2.3706 0.0180622 *
fesisRhodeIsland.2004 -9.3370e-01 1.6459e-01 -5.6728 2.148e-08 ***
fesisSouthCarolina.2002 -7.1890e-01 2.8058e-01 -2.5622 0.0106335 *
fesisSouthCarolina.2008 8.1175e-01 1.3204e-01 6.1480 1.398e-09 ***
fesisWisconsin.2014 4.1392e-01 1.2230e-01 3.3844 0.0007578 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.9048795 1 0.1675
Ljung-Box ARCH(1) 0.0030449 1 0.9560
SE of regression 0.25559
R-squared 0.95328
Log-lik.(n=720) 7.58467 Log Patent Count
0.01
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:02:04 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0340103 0.0292850 1.1614 0.2458010
lgdp 43.7263263 3.0635825 14.2729 < 2.2e-16 ***
lpop -34.6166241 1.8818116 -18.3954 < 2.2e-16 ***
lgdp_sq -1.5677954 0.1825802 -8.5869 < 2.2e-16 ***
avg_temp -0.0751846 0.0745140 -1.0090 0.3132418
idAlaska -0.5180913 0.1441149 -3.5950 0.0003418 ***
idArizona 1.6678845 0.1086957 15.3445 < 2.2e-16 ***
idArkansas 0.7656132 0.3161752 2.4215 0.0156513 *
idCalifornia 3.8523607 0.1508034 25.5456 < 2.2e-16 ***
idColorado 1.9961434 0.1131794 17.6370 < 2.2e-16 ***
idConnecticut 2.6023154 0.1498965 17.3608 < 2.2e-16 ***
idDelaware 1.5350347 0.1179889 13.0100 < 2.2e-16 ***
idDistrictofColumbia 0.2349892 0.1429508 1.6438 0.1005521
idFlorida 2.0823362 0.1144555 18.1934 < 2.2e-16 ***
idGeorgia 1.4373713 0.1059295 13.5691 < 2.2e-16 ***
idHawaii 0.3487364 0.1283772 2.7165 0.0067224 **
idIdaho 0.2628188 0.0967373 2.7168 0.0067157 **
idIllinois 2.0965592 0.1151018 18.2148 < 2.2e-16 ***
idIndiana 1.0225522 0.1009613 10.1282 < 2.2e-16 ***
idIowa 0.2504755 0.0966991 2.5903 0.0097433 **
idKansas 0.0221685 0.0965109 0.2297 0.8183767
idKentucky 0.1779708 0.0978497 1.8188 0.0692667 .
idLouisiana 0.1248774 0.0965517 1.2934 0.1962092
idMaine 0.1370113 0.0965157 1.4196 0.1560725
idMaryland 1.3247738 0.1039667 12.7423 < 2.2e-16 ***
idMassachusetts 2.7456516 0.1269424 21.6291 < 2.2e-16 ***
idMichigan 2.3006979 0.1187293 19.3777 < 2.2e-16 ***
idMinnesota 1.8942056 0.1120803 16.9004 < 2.2e-16 ***
idMississippi 0.4695245 0.1905292 2.4643 0.0139107 *
idMissouri 0.7867603 0.0999601 7.8707 9.956e-15 ***
idMontana -0.4235795 0.0974812 -4.3452 1.547e-05 ***
idNebraska -0.4476276 0.1201317 -3.7261 0.0002064 ***
idNevada 0.9204212 0.1183915 7.7744 2.040e-14 ***
idNewHampshire 0.9067645 0.1004430 9.0277 < 2.2e-16 ***
idNewJersey 1.9782158 0.1132114 17.4736 < 2.2e-16 ***
idNewMexico 1.0264644 0.1011903 10.1439 < 2.2e-16 ***
idNewYork 2.9616957 0.1316362 22.4991 < 2.2e-16 ***
idNorthCarolina 1.9879208 0.1132110 17.5594 < 2.2e-16 ***
idNorthDakota -0.5278500 0.1000470 -5.2760 1.650e-07 ***
idOhio 2.3052030 0.1192060 19.3380 < 2.2e-16 ***
idOklahoma 0.5502913 0.0976222 5.6369 2.307e-08 ***
idOregon 1.4236463 0.1072424 13.2750 < 2.2e-16 ***
idPennsylvania 2.3660500 0.1199959 19.7178 < 2.2e-16 ***
idRhodeIsland 1.1345451 0.1923538 5.8982 5.171e-09 ***
idSouthCarolina 1.1438466 0.1390617 8.2255 6.654e-16 ***
idSouthDakota -0.5409167 0.1358824 -3.9808 7.415e-05 ***
idTennessee 0.8876437 0.1006149 8.8222 < 2.2e-16 ***
idTexas 2.5064488 0.1223233 20.4904 < 2.2e-16 ***
idUtah 0.7645975 0.0990958 7.7157 3.146e-14 ***
idVermont -0.0054305 0.0965073 -0.0563 0.9551389
idVirginia 1.6673294 0.1090390 15.2911 < 2.2e-16 ***
idWashington 1.8852291 0.1114953 16.9086 < 2.2e-16 ***
idWestVirginia -0.5391754 0.0980373 -5.4997 4.940e-08 ***
idWisconsin 1.6728844 0.1082008 15.4609 < 2.2e-16 ***
idWyoming -0.2520479 0.1027182 -2.4538 0.0143222 *
time2001 -2.3509494 0.4778964 -4.9194 1.030e-06 ***
time2002 -2.2738431 0.4427120 -5.1362 3.428e-07 ***
time2003 -2.2273932 0.3847175 -5.7897 9.693e-09 ***
time2004 -2.3457877 0.2740976 -8.5582 < 2.2e-16 ***
time2005 -2.0881419 0.2106976 -9.9106 < 2.2e-16 ***
time2006 -1.5246372 0.1692602 -9.0077 < 2.2e-16 ***
time2007 -1.0668421 0.1468762 -7.2635 8.078e-13 ***
time2008 -0.7417974 0.1817142 -4.0822 4.852e-05 ***
time2009 -0.0889422 0.2145442 -0.4146 0.6785589
time2010 -0.0536982 0.1926270 -0.2788 0.7804861
time2011 0.0484313 0.1401105 0.3457 0.7296743
time2012 0.1694147 0.1274143 1.3296 0.1839701
time2013 -0.0517685 0.1716581 -0.3016 0.7630417
time2014 -0.2013221 0.2091030 -0.9628 0.3359082
time2015 0.1101253 0.1002264 1.0988 0.2721600
time2016 0.0468470 0.0911468 0.5140 0.6073954
iis75 -1.1018357 0.3233891 -3.4072 0.0006851 ***
iis79 -1.1945972 0.3239976 -3.6871 0.0002402 ***
iis164 -1.0034540 0.3330403 -3.0130 0.0026581 **
iis235 -0.9994070 0.3270031 -3.0563 0.0023064 **
iis236 1.0796831 0.3280770 3.2909 0.0010368 **
iis237 -0.8910575 0.3284684 -2.7128 0.0067980 **
iis238 -1.0805123 0.3278157 -3.2961 0.0010182 **
iis346 -1.0882917 0.3163121 -3.4406 0.0006068 ***
iis501 -1.0199667 0.3164537 -3.2231 0.0013130 **
iis548 -0.8616768 0.3246750 -2.6540 0.0080935 **
iis687 -0.9487554 0.3173544 -2.9896 0.0028686 **
iis742 1.1691074 0.3163359 3.6958 0.0002323 ***
iis829 0.8692623 0.3219698 2.6998 0.0070659 **
iis839 -1.2304399 0.3221306 -3.8197 0.0001427 ***
iis843 -0.9689278 0.3163398 -3.0629 0.0022561 **
iis921 -0.9847208 0.3165578 -3.1107 0.0019243 **
fesisAlaska.2007 -0.9936783 0.1732300 -5.7362 1.316e-08 ***
fesisAlaska.2014 0.6697021 0.1651291 4.0556 5.427e-05 ***
fesisArkansas.2002 -1.1838989 0.3447750 -3.4338 0.0006219 ***
fesisArkansas.2006 -0.7004627 0.2356400 -2.9726 0.0030305 **
fesisArkansas.2009 1.1341634 0.2032342 5.5806 3.160e-08 ***
fesisConnecticut.2009 -0.5741430 0.1417775 -4.0496 5.566e-05 ***
fesisDelaware.2014 -0.8734564 0.1459138 -5.9861 3.086e-09 ***
fesisDistrictofColumbia.2008 -0.8314279 0.1995239 -4.1671 3.379e-05 ***
fesisDistrictofColumbia.2012 1.0482009 0.1871571 5.6006 2.826e-08 ***
fesisHawaii.2009 -0.4996759 0.1547244 -3.2295 0.0012845 **
fesisMississippi.2004 -1.3722089 0.1961342 -6.9963 5.083e-12 ***
fesisMississippi.2020 1.3141438 0.3178669 4.1343 3.889e-05 ***
fesisNebraska.2012 0.5777925 0.1430648 4.0387 5.827e-05 ***
fesisNevada.2012 -0.5760822 0.1498992 -3.8431 0.0001299 ***
fesisNevada.2019 0.9001138 0.2472292 3.6408 0.0002871 ***
fesisRhodeIsland.2004 -0.8194007 0.1938512 -4.2270 2.607e-05 ***
fesisSouthCarolina.2008 0.7655921 0.1464035 5.2293 2.110e-07 ***
fesisSouthDakota.2008 0.6115876 0.1502517 4.0704 5.099e-05 ***
fesisWyoming.2017 -0.7676446 0.1953669 -3.9292 9.164e-05 ***
fesisWyoming.2020 1.5977885 0.3561357 4.4865 8.165e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.4264963 1 0.5137
Ljung-Box ARCH(1) 0.0013378 1 0.9708
SE of regression 0.30518
R-squared 0.94634
Log-lik.(n=1020) -183.21348 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:07:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0475213 0.0302561 1.5706 0.1166631
lgdp 48.5110180 3.0230728 16.0469 < 2.2e-16 ***
lpop -38.1699964 1.8475179 -20.6601 < 2.2e-16 ***
lgdp_sq -1.7571000 0.1807835 -9.7194 < 2.2e-16 ***
avg_temp -0.0753638 0.0738704 -1.0202 0.3079347
idArizona 1.6448094 0.1035220 15.8885 < 2.2e-16 ***
idArkansas -0.4067450 0.1570680 -2.5896 0.0097836 **
idCalifornia 3.7988976 0.1496006 25.3936 < 2.2e-16 ***
idColorado 1.9688631 0.1085297 18.1412 < 2.2e-16 ***
idConnecticut 2.5772926 0.1440698 17.8892 < 2.2e-16 ***
idDelaware 1.5144963 0.1116981 13.5588 < 2.2e-16 ***
idDistrictofColumbia 0.0402563 0.1147927 0.3507 0.7259160
idFlorida 2.0539454 0.1099488 18.6809 < 2.2e-16 ***
idGeorgia 1.4172196 0.1004146 14.1137 < 2.2e-16 ***
idHawaii 0.3576058 0.1194607 2.9935 0.0028431 **
idIdaho 0.2597285 0.0899697 2.8868 0.0039963 **
idIllinois 2.0676175 0.1106667 18.6833 < 2.2e-16 ***
idIndiana 1.0088664 0.0947941 10.6427 < 2.2e-16 ***
idIowa 0.2013557 0.0911895 2.2081 0.0275208 *
idKansas -0.0301357 0.0909069 -0.3315 0.7403532
idKentucky 0.1747304 0.0909706 1.9207 0.0551212 .
idLouisiana 0.2138756 0.1106059 1.9337 0.0535068 .
idMaine 0.2348371 0.0922292 2.5462 0.0110761 *
idMaryland 1.3069302 0.0982004 13.3088 < 2.2e-16 ***
idMassachusetts 2.7076036 0.1237185 21.8852 < 2.2e-16 ***
idMichigan 2.2687891 0.1146845 19.7829 < 2.2e-16 ***
idMinnesota 1.8679090 0.1073052 17.4074 < 2.2e-16 ***
idMissouri 0.7765156 0.0933737 8.3162 3.904e-16 ***
idNebraska -0.3527147 0.1160362 -3.0397 0.0024455 **
idNevada 0.9142407 0.1109694 8.2387 7.110e-16 ***
idNewHampshire 0.8939162 0.0942044 9.4891 < 2.2e-16 ***
idNewJersey 1.9509073 0.1085653 17.9699 < 2.2e-16 ***
idNewMexico 1.0124233 0.0950543 10.6510 < 2.2e-16 ***
idNewYork 2.9203920 0.1288480 22.6654 < 2.2e-16 ***
idNorthCarolina 1.9606126 0.1085649 18.0594 < 2.2e-16 ***
idOhio 2.2729181 0.1152111 19.7283 < 2.2e-16 ***
idOklahoma 0.5434973 0.0909842 5.9735 3.495e-09 ***
idOregon 2.0843596 0.1872539 11.1312 < 2.2e-16 ***
idPennsylvania 2.3331482 0.1160831 20.0990 < 2.2e-16 ***
idRhodeIsland 1.1425012 0.1795069 6.3647 3.298e-10 ***
idSouthCarolina 1.1398161 0.1304322 8.7388 < 2.2e-16 ***
idSouthDakota -0.6202138 0.1788175 -3.4684 0.0005516 ***
idTennessee 0.8747237 0.0941279 9.2929 < 2.2e-16 ***
idTexas 2.4717706 0.1186477 20.8329 < 2.2e-16 ***
idUtah 0.7542119 0.0926690 8.1388 1.529e-15 ***
idVermont -0.0051318 0.0897056 -0.0572 0.9543943
idVirginia 1.6443837 0.1036388 15.8665 < 2.2e-16 ***
idWashington 1.8594672 0.1066527 17.4348 < 2.2e-16 ***
idWisconsin 1.6503098 0.1029671 16.0275 < 2.2e-16 ***
time2001 -2.6445561 0.4741520 -5.5774 3.342e-08 ***
time2002 -2.5604321 0.4390568 -5.8317 7.968e-09 ***
time2003 -2.5332751 0.3816653 -6.6374 5.893e-11 ***
time2004 -2.6228367 0.2719489 -9.6446 < 2.2e-16 ***
time2005 -2.2910328 0.2087039 -10.9774 < 2.2e-16 ***
time2006 -1.7572425 0.1674246 -10.4957 < 2.2e-16 ***
time2007 -1.2484564 0.1452354 -8.5961 < 2.2e-16 ***
time2008 -0.8813609 0.1803859 -4.8860 1.244e-06 ***
time2009 -0.1977717 0.2128164 -0.9293 0.3530112
time2010 -0.1282581 0.1914007 -0.6701 0.5029863
time2011 -0.0246581 0.1389321 -0.1775 0.8591742
time2012 0.1325784 0.1262667 1.0500 0.2940421
time2013 -0.0692509 0.1702524 -0.4068 0.6842974
time2014 -0.2330633 0.2074596 -1.1234 0.2615990
time2015 0.0597109 0.0990529 0.6028 0.5468008
time2016 0.0482457 0.0902328 0.5347 0.5930202
iis41 1.1932117 0.3209614 3.7176 0.0002152 ***
iis59 -1.1039323 0.3004388 -3.6744 0.0002543 ***
iis144 -0.7967289 0.3030863 -2.6287 0.0087355 **
iis148 -1.2861321 0.3036212 -4.2360 2.541e-05 ***
iis215 -0.9833785 0.3043165 -3.2314 0.0012822 **
iis216 1.0625424 0.3055891 3.4770 0.0005344 ***
iis217 -0.9272905 0.3060494 -3.0299 0.0025255 **
iis218 -1.0833915 0.3053167 -3.5484 0.0004102 ***
iis282 0.9259071 0.2950072 3.1386 0.0017601 **
iis326 -1.0528366 0.2944526 -3.5756 0.0003705 ***
iis364 -1.0158247 0.2950716 -3.4426 0.0006061 ***
iis370 -0.9538403 0.2950596 -3.2327 0.0012766 **
iis461 -1.0060732 0.2946168 -3.4149 0.0006704 ***
iis488 -0.9580474 0.3041607 -3.1498 0.0016947 **
iis490 -0.7898854 0.3025532 -2.6107 0.0092044 **
iis759 -1.1466092 0.3025986 -3.7892 0.0001625 ***
iis763 -0.9278744 0.2944721 -3.1510 0.0016880 **
iis841 -0.9670714 0.2947055 -3.2815 0.0010775 **
fesisArkansas.2006 -0.6870351 0.2194001 -3.1314 0.0018030 **
fesisArkansas.2009 1.0067828 0.1872653 5.3762 9.994e-08 ***
fesisConnecticut.2009 -0.5849295 0.1323329 -4.4201 1.123e-05 ***
fesisDelaware.2014 -0.8656810 0.1362261 -6.3547 3.507e-10 ***
fesisDistrictofColumbia.2012 0.3976802 0.1370864 2.9009 0.0038227 **
fesisHawaii.2009 -0.5083908 0.1442381 -3.5247 0.0004482 ***
fesisKansas.2020 1.0558511 0.2944624 3.5857 0.0003566 ***
fesisLouisiana.2011 -0.6989749 0.1711972 -4.0829 4.897e-05 ***
fesisLouisiana.2015 0.8636856 0.1864158 4.6331 4.205e-06 ***
fesisNebraska.2012 0.4745377 0.1367828 3.4693 0.0005498 ***
fesisNevada.2012 -0.5976475 0.1398569 -4.2733 2.159e-05 ***
fesisNevada.2019 0.9585259 0.2301132 4.1655 3.446e-05 ***
fesisOregon.2004 -0.7324707 0.1807685 -4.0520 5.575e-05 ***
fesisRhodeIsland.2004 -0.8361239 0.1806917 -4.6274 4.321e-06 ***
fesisSouthCarolina.2008 0.7374334 0.1365268 5.4014 8.733e-08 ***
fesisSouthDakota.2004 1.2399725 0.3315711 3.7397 0.0001974 ***
fesisSouthDakota.2005 -1.4223097 0.3314424 -4.2913 1.995e-05 ***
fesisSouthDakota.2008 1.4017284 0.2347874 5.9702 3.564e-09 ***
fesisSouthDakota.2011 -0.6163723 0.1914461 -3.2196 0.0013358 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.57139 1 0.4497
Ljung-Box ARCH(1) 0.13397 1 0.7143
SE of regression 0.28367
R-squared 0.94607
Log-lik.(n=900) -92.08317 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Mon Mar 27 00:06:16 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 7.9618e-02 3.4448e-02 2.3112 0.0211325 *
lgdp -1.0079e+02 1.7176e+01 -5.8681 7.033e-09 ***
lpop 9.5463e+01 1.3449e+01 7.0984 3.325e-12 ***
lgdp_sq 2.5663e+00 5.7658e-01 4.4508 1.007e-05 ***
avg_temp 3.2198e-01 1.0059e-01 3.2009 0.0014369 **
idCalifornia 2.0819e+00 1.1134e-01 18.6979 < 2.2e-16 ***
idColorado 3.1406e-01 8.0681e-02 3.8927 0.0001094 ***
idConnecticut 9.0160e-01 1.1148e-01 8.0873 3.005e-15 ***
idDelaware -1.2823e-01 9.0538e-02 -1.4163 0.1571633
idDistrictofColumbia -1.3375e+00 1.3320e-01 -10.0415 < 2.2e-16 ***
idFlorida 3.9651e-01 8.1106e-02 4.8888 1.281e-06 ***
idGeorgia -2.2064e-01 8.0312e-02 -2.7474 0.0061749 **
idIdaho -1.3376e+00 9.4820e-02 -14.1068 < 2.2e-16 ***
idIllinois 4.0887e-01 8.1352e-02 5.0259 6.489e-07 ***
idIndiana -6.1364e-01 8.3472e-02 -7.3514 5.935e-13 ***
idIowa -1.3929e+00 9.5609e-02 -14.5692 < 2.2e-16 ***
idKentucky -1.4162e+00 9.7906e-02 -14.4647 < 2.2e-16 ***
idMaryland -3.2545e-01 8.1070e-02 -4.0145 6.655e-05 ***
idMassachusetts 1.0272e+00 8.8611e-02 11.5926 < 2.2e-16 ***
idMichigan 6.0299e-01 8.3077e-02 7.2583 1.126e-12 ***
idMinnesota 2.1545e-01 8.0386e-02 2.6802 0.0075460 **
idMissouri -8.3723e-01 8.8103e-02 -9.5029 < 2.2e-16 ***
idNevada -7.1034e-01 9.8573e-02 -7.2063 1.605e-12 ***
idNewHampshire -7.2660e-01 8.4109e-02 -8.6388 < 2.2e-16 ***
idNewJersey 2.9604e-01 8.0690e-02 3.6689 0.0002637 ***
idNewMexico -6.1093e-01 8.3216e-02 -7.3414 6.361e-13 ***
idNewYork 1.2323e+00 9.2491e-02 13.3233 < 2.2e-16 ***
idNorthCarolina 3.0575e-01 8.0690e-02 3.7891 0.0001653 ***
idOhio 6.0623e-01 8.3342e-02 7.2740 1.011e-12 ***
idOklahoma -1.0626e+00 9.0098e-02 -11.7942 < 2.2e-16 ***
idOregon 4.2341e-01 1.5870e-01 2.6680 0.0078203 **
idPennsylvania 6.6499e-01 8.3798e-02 7.9356 9.233e-15 ***
idRhodeIsland -4.8425e-01 1.6066e-01 -3.0141 0.0026778 **
idSouthCarolina -4.8920e-01 1.1333e-01 -4.3168 1.831e-05 ***
idTennessee -7.4228e-01 8.6738e-02 -8.5577 < 2.2e-16 ***
idTexas 7.9940e-01 8.5262e-02 9.3757 < 2.2e-16 ***
idUtah -8.1752e-01 8.7345e-02 -9.3596 < 2.2e-16 ***
idVirginia 4.6238e-04 8.1071e-02 0.0057 0.9954511
idWashington 2.0827e-01 8.0258e-02 2.5951 0.0096713 **
idWisconsin 6.6893e-03 7.9975e-02 0.0836 0.9333672
time2001 1.4695e+01 3.0854e+00 4.7628 2.358e-06 ***
time2002 1.3967e+01 2.8808e+00 4.8482 1.562e-06 ***
time2003 1.3945e+01 2.7052e+00 5.1550 3.372e-07 ***
time2004 1.3688e+01 2.6362e+00 5.1925 2.782e-07 ***
time2005 1.3154e+01 2.3328e+00 5.6386 2.560e-08 ***
time2006 1.1887e+01 2.0264e+00 5.8659 7.126e-09 ***
time2007 1.0819e+01 1.7609e+00 6.1439 1.406e-09 ***
time2008 9.1971e+00 1.5944e+00 5.7683 1.240e-08 ***
time2009 5.0850e+00 1.1755e+00 4.3258 1.760e-05 ***
time2010 4.7539e+00 1.1411e+00 4.1660 3.520e-05 ***
time2011 4.5726e+00 1.0745e+00 4.2555 2.394e-05 ***
time2012 3.4857e+00 7.8128e-01 4.4615 9.596e-06 ***
time2013 3.1297e+00 8.1044e-01 3.8617 0.0001239 ***
time2014 1.3214e+00 4.7369e-01 2.7895 0.0054340 **
time2015 8.6641e-01 3.7191e-01 2.3296 0.0201338 *
time2016 1.6106e-01 2.0005e-01 0.8051 0.4210788
iis104 -1.0486e+00 2.7729e-01 -3.7816 0.0001702 ***
iis222 8.7788e-01 2.6386e-01 3.3271 0.0009271 ***
iis246 -1.1043e+00 2.6319e-01 -4.1960 3.096e-05 ***
iis341 -9.8468e-01 2.6336e-01 -3.7390 0.0002011 ***
iis603 -9.0402e-01 2.6327e-01 -3.4338 0.0006331 ***
iis659 -8.5872e-01 2.6324e-01 -3.2621 0.0011639 **
iis661 -9.3675e-01 2.6347e-01 -3.5554 0.0004049 ***
fesisConnecticut.2009 -5.6679e-01 1.1880e-01 -4.7711 2.265e-06 ***
fesisDelaware.2014 -8.3594e-01 1.2256e-01 -6.8209 2.078e-11 ***
fesisDistrictofColumbia.2008 -1.0230e+00 1.8197e-01 -5.6216 2.814e-08 ***
fesisDistrictofColumbia.2011 1.1551e+00 1.7072e-01 6.7662 2.961e-11 ***
fesisNevada.2012 -5.7815e-01 1.2539e-01 -4.6107 4.835e-06 ***
fesisNevada.2019 9.7808e-01 2.0568e-01 4.7554 2.443e-06 ***
fesisOregon.2004 -7.0584e-01 1.6206e-01 -4.3554 1.543e-05 ***
fesisRhodeIsland.2004 -8.1037e-01 1.6195e-01 -5.0039 7.246e-07 ***
fesisSouthCarolina.2008 7.1584e-01 1.2292e-01 5.8235 9.076e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.7187008 1 0.3966
Ljung-Box ARCH(1) 0.0059898 1 0.9383
SE of regression 0.25287
R-squared 0.94355
Log-lik.(n=720) 4.27189 0.05
us_all
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:01:39 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.0142064 0.0275714 0.5153 0.6065031
lgdp 45.4762662 2.8330892 16.0518 < 2.2e-16 ***
lpop -34.8991182 1.7332293 -20.1353 < 2.2e-16 ***
lgdp_sq -1.6765453 0.1689815 -9.9215 < 2.2e-16 ***
avg_temp -0.1171333 0.0680490 -1.7213 0.0855488 .
idAlaska -0.6360663 0.1406455 -4.5225 6.956e-06 ***
idArizona 1.6926609 0.1027904 16.4671 < 2.2e-16 ***
idArkansas 0.7319626 0.2828212 2.5881 0.0098118 **
idCalifornia 3.9216787 0.1425169 27.5173 < 2.2e-16 ***
idColorado 2.0270836 0.1070324 18.9390 < 2.2e-16 ***
idConnecticut 2.6561453 0.1391969 19.0819 < 2.2e-16 ***
idDelaware 1.5572386 0.1102846 14.1202 < 2.2e-16 ***
idDistrictofColumbia 0.2371182 0.1305958 1.8157 0.0697647 .
idFlorida 2.1149043 0.1082385 19.5393 < 2.2e-16 ***
idGeorgia 1.4578627 0.1001693 14.5540 < 2.2e-16 ***
idHawaii 0.3528882 0.1180609 2.9890 0.0028771 **
idIdaho -0.5205351 0.2824725 -1.8428 0.0656998 .
idIllinois 2.1299347 0.1088493 19.5677 < 2.2e-16 ***
idIndiana 1.0335661 0.0954468 10.8287 < 2.2e-16 ***
idIowa -0.3374395 0.2824575 -1.1947 0.2325461
idKansas 0.0071362 0.0933441 0.0765 0.9390784
idKentucky 0.1700069 0.0922854 1.8422 0.0657870 .
idLouisiana 0.2141295 0.1098983 1.9484 0.0516832 .
idMaine 0.2266892 0.0934303 2.4263 0.0154556 *
idMaryland 1.3418822 0.0983065 13.6500 < 2.2e-16 ***
idMassachusetts 2.7923749 0.1200267 23.2646 < 2.2e-16 ***
idMichigan 2.3384225 0.1122758 20.8275 < 2.2e-16 ***
idMinnesota 1.9237041 0.1059931 18.1493 < 2.2e-16 ***
idMississippi 0.4714723 0.1721045 2.7395 0.0062796 **
idMissouri 0.7924166 0.0943493 8.3988 < 2.2e-16 ***
idMontana -0.4101271 0.0931977 -4.4006 1.213e-05 ***
idNebraska -0.3197774 0.1191021 -2.6849 0.0073927 **
idNevada 0.9370904 0.1099992 8.5191 < 2.2e-16 ***
idNewHampshire 0.9165509 0.0949521 9.6528 < 2.2e-16 ***
idNewJersey 2.0091974 0.1070626 18.7666 < 2.2e-16 ***
idNewMexico 1.0379993 0.0956652 10.8503 < 2.2e-16 ***
idNewYork 3.0131910 0.1244533 24.2114 < 2.2e-16 ***
idNorthCarolina 2.0189019 0.1070623 18.8573 < 2.2e-16 ***
idNorthDakota -0.5933094 0.1406959 -4.2170 2.734e-05 ***
idOhio 2.3434788 0.1127260 20.7892 < 2.2e-16 ***
idOklahoma 0.5512035 0.0922432 5.9755 3.337e-09 ***
idOregon 1.8756612 0.2142395 8.7550 < 2.2e-16 ***
idPennsylvania 2.4052302 0.1134717 21.1967 < 2.2e-16 ***
idRhodeIsland 1.1527243 0.1740107 6.6244 6.090e-11 ***
idSouthCarolina 1.1707384 0.1279074 9.1530 < 2.2e-16 ***
idSouthDakota -0.7389781 0.1314938 -5.6199 2.571e-08 ***
idTennessee 0.8937178 0.0949772 9.4098 < 2.2e-16 ***
idTexas 2.5482327 0.1156686 22.0305 < 2.2e-16 ***
idUtah 0.7707740 0.0936632 8.2292 6.820e-16 ***
idVermont -0.0280691 0.1134343 -0.2474 0.8046200
idVirginia 1.6916023 0.1029898 16.4249 < 2.2e-16 ***
idWashington 1.9139437 0.1054398 18.1520 < 2.2e-16 ***
idWestVirginia -0.3913969 0.1043218 -3.7518 0.0001871 ***
idWisconsin 1.6969272 0.1023218 16.5842 < 2.2e-16 ***
idWyoming -0.2667085 0.0961038 -2.7752 0.0056345 **
time2001 -2.6685160 0.4403128 -6.0605 2.017e-09 ***
time2002 -2.5829034 0.4085195 -6.3226 4.100e-10 ***
time2003 -2.5377536 0.3537105 -7.1747 1.548e-12 ***
time2004 -2.5676566 0.2523099 -10.1766 < 2.2e-16 ***
time2005 -2.2597329 0.1934234 -11.6828 < 2.2e-16 ***
time2006 -1.6534965 0.1563605 -10.5749 < 2.2e-16 ***
time2007 -1.1657045 0.1356445 -8.5938 < 2.2e-16 ***
time2008 -0.8881006 0.1655882 -5.3633 1.047e-07 ***
time2009 -0.2836173 0.1957586 -1.4488 0.1477493
time2010 -0.2149167 0.1754113 -1.2252 0.2208245
time2011 -0.0243147 0.1286032 -0.1891 0.8500836
time2012 0.1381183 0.1178826 1.1717 0.2416535
time2013 -0.1365243 0.1560648 -0.8748 0.3819275
time2014 -0.3575761 0.1898236 -1.8837 0.0599339 .
time2015 0.0639017 0.0918337 0.6958 0.4867135
time2016 0.0440108 0.0837785 0.5253 0.5994917
iis19 0.8429755 0.3358763 2.5098 0.0122606 *
iis23 0.6547980 0.3004510 2.1794 0.0295698 *
iis66 -1.3545132 0.2898907 -4.6725 3.445e-06 ***
iis67 -1.1056380 0.2900202 -3.8123 0.0001474 ***
iis68 -1.1241548 0.2894683 -3.8835 0.0001107 ***
iis75 -1.1705698 0.2890080 -4.0503 5.570e-05 ***
iis77 -0.7611034 0.2894520 -2.6295 0.0087024 **
iis79 -1.2093311 0.2897269 -4.1740 3.292e-05 ***
iis164 -0.9945085 0.2962174 -3.3574 0.0008209 ***
iis168 -0.8367098 0.3187966 -2.6246 0.0088270 **
iis235 -1.0009331 0.2907491 -3.4426 0.0006035 ***
iis236 1.0602884 0.2918464 3.6330 0.0002965 ***
iis237 -0.8746018 0.2924569 -2.9905 0.0028631 **
iis238 -1.1070224 0.2917033 -3.7950 0.0001578 ***
iis331 -0.8221422 0.2816705 -2.9188 0.0036040 **
iis346 -1.0669132 0.2813273 -3.7924 0.0001595 ***
iis379 0.6860894 0.3003414 2.2844 0.0225893 *
iis384 -1.0256127 0.2818531 -3.6388 0.0002900 ***
iis390 -0.9295938 0.2818830 -3.2978 0.0010138 **
iis493 -0.5739980 0.2889381 -1.9866 0.0472815 *
iis501 -1.0340557 0.2815395 -3.6729 0.0002544 ***
iis532 -0.6360743 0.2820027 -2.2556 0.0243450 *
iis543 -0.5792785 0.2908451 -1.9917 0.0467143 *
iis548 -0.9970587 0.2921446 -3.4129 0.0006723 ***
iis550 -0.8392576 0.2908544 -2.8855 0.0040043 **
iis578 -0.6215469 0.2962834 -2.0978 0.0362087 *
iis687 -0.8675048 0.2875018 -3.0174 0.0026236 **
iis691 -0.7893330 0.2863381 -2.7566 0.0059615 **
iis742 0.7632657 0.3362041 2.2702 0.0234357 *
iis817 0.6745806 0.2865013 2.3545 0.0187659 *
iis818 0.6399595 0.2869796 2.2300 0.0260022 *
iis824 1.3312169 0.2961178 4.4956 7.874e-06 ***
iis829 1.0748760 0.2960428 3.6308 0.0002990 ***
iis830 0.8802536 0.2972176 2.9616 0.0031429 **
iis834 0.6149207 0.2960124 2.0773 0.0380613 *
iis837 0.7400137 0.2964074 2.4966 0.0127220 *
iis843 -0.9527531 0.2813988 -3.3858 0.0007415 ***
iis921 -1.0043151 0.2816251 -3.5661 0.0003820 ***
iis973 -0.6451421 0.2939433 -2.1948 0.0284418 *
fesisAlabama.2017 -0.8542641 0.2828996 -3.0197 0.0026041 **
fesisAlabama.2018 0.7977194 0.3360400 2.3739 0.0178176 *
fesisAlaska.2007 -0.9224536 0.1624429 -5.6786 1.849e-08 ***
fesisAlaska.2014 0.6842213 0.1469388 4.6565 3.716e-06 ***
fesisArkansas.2002 -1.1503231 0.3066590 -3.7511 0.0001876 ***
fesisArkansas.2006 0.4820965 0.1650200 2.9214 0.0035739 **
fesisConnecticut.2009 -0.6019968 0.1263936 -4.7629 2.234e-06 ***
fesisDelaware.2014 -0.7732195 0.1367660 -5.6536 2.128e-08 ***
fesisDelaware.2020 -0.8043484 0.2963005 -2.7146 0.0067658 **
fesisDistrictofColumbia.2008 -0.6476123 0.1952276 -3.3172 0.0009468 ***
fesisDistrictofColumbia.2012 0.8531177 0.1858937 4.5893 5.100e-06 ***
fesisHawaii.2009 -0.5230715 0.1378057 -3.7957 0.0001574 ***
fesisIdaho.2002 0.8198288 0.2815590 2.9117 0.0036856 **
fesisIowa.2002 1.4589331 0.3879040 3.7611 0.0001805 ***
fesisIowa.2003 -0.8921974 0.2822084 -3.1615 0.0016238 **
fesisKansas.2020 0.9275503 0.2819530 3.2897 0.0010430 **
fesisLouisiana.2011 -0.7243172 0.1634276 -4.4320 1.052e-05 ***
fesisLouisiana.2015 0.7719463 0.1849459 4.1739 3.294e-05 ***
fesisMississippi.2004 -1.1676822 0.1947663 -5.9953 2.970e-09 ***
fesisMississippi.2010 -0.3180443 0.1454499 -2.1866 0.0290347 *
fesisMississippi.2020 1.4003182 0.2891629 4.8427 1.515e-06 ***
fesisNebraska.2012 0.4327658 0.1345522 3.2163 0.0013461 **
fesisNevada.2012 -0.5195463 0.1402185 -3.7053 0.0002245 ***
fesisNevada.2019 0.8465380 0.2239613 3.7798 0.0001676 ***
fesisNorthDakota.2006 0.7979092 0.3005943 2.6544 0.0080886 **
fesisNorthDakota.2007 -0.8054294 0.2865599 -2.8107 0.0050543 **
fesisNorthDakota.2020 0.8756288 0.2865472 3.0558 0.0023129 **
fesisOregon.2004 -0.4834731 0.2063511 -2.3430 0.0193549 *
fesisRhodeIsland.2004 -0.8406381 0.1726012 -4.8704 1.322e-06 ***
fesisSouthCarolina.2008 0.6595474 0.1341240 4.9174 1.048e-06 ***
fesisSouthDakota.2008 0.6130910 0.1593013 3.8486 0.0001274 ***
fesisSouthDakota.2018 -0.4428768 0.1941681 -2.2809 0.0227949 *
fesisVermont.2010 0.5556208 0.1830882 3.0347 0.0024790 **
fesisVermont.2013 -0.7310920 0.1860829 -3.9289 9.209e-05 ***
fesisWestVirginia.2013 -0.3406067 0.1316382 -2.5874 0.0098296 **
fesisWyoming.2017 -0.7785183 0.1740541 -4.4729 8.737e-06 ***
fesisWyoming.2020 1.6053993 0.3168407 5.0669 4.936e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0015689 1 0.9684
Ljung-Box ARCH(1) 0.1172142 1 0.7321
SE of regression 0.27130
R-squared 0.95945
Log-lik.(n=1020) -43.20138 us_q20
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:06:58 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.072589 0.028603 2.5378 0.0113508 *
lgdp 47.924237 2.850993 16.8097 < 2.2e-16 ***
lpop -38.113434 1.724578 -22.1001 < 2.2e-16 ***
lgdp_sq -1.700076 0.171130 -9.9344 < 2.2e-16 ***
avg_temp -0.099644 0.070005 -1.4234 0.1550313
idArizona 1.341775 0.104315 12.8627 < 2.2e-16 ***
idArkansas -0.300936 0.100861 -2.9837 0.0029380 **
idCalifornia 3.439482 0.147297 23.3507 < 2.2e-16 ***
idColorado 1.658027 0.109017 15.2088 < 2.2e-16 ***
idConnecticut 2.259142 0.140323 16.0995 < 2.2e-16 ***
idDelaware 1.220673 0.110957 11.0013 < 2.2e-16 ***
idDistrictofColumbia -0.126835 0.115492 -1.0982 0.2724535
idFlorida 1.741049 0.110346 15.7781 < 2.2e-16 ***
idGeorgia 1.119610 0.101379 11.0438 < 2.2e-16 ***
idHawaii 0.102338 0.115842 0.8834 0.3772811
idIdaho -0.761558 0.271358 -2.8065 0.0051351 **
idIllinois 1.753699 0.111017 15.7967 < 2.2e-16 ***
idIndiana 0.723253 0.095990 7.5347 1.374e-13 ***
idIowa -0.575281 0.271323 -2.1203 0.0343011 *
idKansas -0.247994 0.092584 -2.6786 0.0075511 **
idKentucky -0.089588 0.091728 -0.9767 0.3290365
idLouisiana -0.045885 0.108374 -0.4234 0.6721253
idMaine -0.025118 0.092586 -0.2713 0.7862356
idMaryland 1.013602 0.099273 10.2103 < 2.2e-16 ***
idMassachusetts 2.376789 0.123190 19.2936 < 2.2e-16 ***
idMichigan 1.949365 0.114770 16.9850 < 2.2e-16 ***
idMinnesota 1.843458 0.142690 12.9193 < 2.2e-16 ***
idMissouri 0.499169 0.094407 5.2874 1.617e-07 ***
idNebraska -0.264522 0.102595 -2.5783 0.0101124 *
idNevada 0.635987 0.109506 5.8078 9.253e-09 ***
idNewHampshire 0.609857 0.095413 6.3917 2.838e-10 ***
idNewJersey 1.640019 0.109051 15.0390 < 2.2e-16 ***
idNewMexico 0.726151 0.096244 7.5449 1.277e-13 ***
idNewYork 2.583537 0.127967 20.1891 < 2.2e-16 ***
idNorthCarolina 1.649725 0.109050 15.1281 < 2.2e-16 ***
idOhio 1.952796 0.115261 16.9423 < 2.2e-16 ***
idOklahoma 0.270671 0.092157 2.9371 0.0034121 **
idOregon 1.520347 0.208661 7.2862 7.897e-13 ***
idPennsylvania 2.011882 0.116075 17.3327 < 2.2e-16 ***
idRhodeIsland 0.856019 0.169262 5.0574 5.316e-07 ***
idSouthCarolina 0.858932 0.126469 6.7916 2.216e-11 ***
idSouthDakota -0.864402 0.167581 -5.1581 3.175e-07 ***
idTennessee 0.593731 0.095166 6.2389 7.263e-10 ***
idTexas 2.147208 0.118466 18.1251 < 2.2e-16 ***
idUtah 0.519123 0.094812 5.4753 5.913e-08 ***
idVermont -0.269804 0.111367 -2.4227 0.0156370 *
idVirginia 1.343472 0.104319 12.8785 < 2.2e-16 ***
idWashington 1.551448 0.107258 14.4646 < 2.2e-16 ***
idWisconsin 1.348204 0.103792 12.9894 < 2.2e-16 ***
time2001 -2.477710 0.447875 -5.5321 4.335e-08 ***
time2002 -2.400320 0.415375 -5.7787 1.093e-08 ***
time2003 -2.439954 0.359912 -6.7793 2.402e-11 ***
time2004 -2.555245 0.256559 -9.9597 < 2.2e-16 ***
time2005 -2.294742 0.196449 -11.6811 < 2.2e-16 ***
time2006 -1.749929 0.157909 -11.0819 < 2.2e-16 ***
time2007 -1.243037 0.136850 -9.0832 < 2.2e-16 ***
time2008 -0.895048 0.169575 -5.2782 1.698e-07 ***
time2009 -0.194709 0.199692 -0.9750 0.3298425
time2010 -0.117583 0.179784 -0.6540 0.5132913
time2011 -0.028126 0.130618 -0.2153 0.8295681
time2012 0.142027 0.119129 1.1922 0.2335438
time2013 -0.091552 0.160510 -0.5704 0.5685839
time2014 -0.279014 0.195456 -1.4275 0.1538386
time2015 0.102276 0.093279 1.0964 0.2732251
time2016 0.070025 0.084926 0.8245 0.4098890
iis2 -0.863365 0.271680 -3.1779 0.0015428 **
iis4 -0.859021 0.271801 -3.1605 0.0016367 **
iis10 -1.041073 0.271579 -3.8334 0.0001367 ***
iis13 -0.774180 0.271812 -2.8482 0.0045136 **
iis17 -1.131442 0.271709 -4.1642 3.478e-05 ***
iis41 0.830111 0.272461 3.0467 0.0023925 **
iis42 -0.810569 0.274644 -2.9513 0.0032599 **
iis46 -1.225972 0.273067 -4.4896 8.224e-06 ***
iis47 -0.898746 0.273031 -3.2917 0.0010410 **
iis48 -0.933758 0.272627 -3.4250 0.0006472 ***
iis55 -1.050989 0.272205 -3.8610 0.0001224 ***
iis59 -1.169849 0.273088 -4.2838 2.070e-05 ***
iis144 -0.901134 0.278716 -3.2332 0.0012764 **
iis148 -1.385270 0.279085 -4.9636 8.521e-07 ***
iis150 -0.699701 0.278503 -2.5124 0.0121956 *
iis215 -1.007429 0.278094 -3.6226 0.0003107 ***
iis216 1.086994 0.279309 3.8917 0.0001081 ***
iis217 -0.947934 0.279884 -3.3869 0.0007428 ***
iis218 -1.081677 0.279198 -3.8742 0.0001161 ***
iis282 0.902765 0.270157 3.3416 0.0008730 ***
iis311 -0.782639 0.269341 -2.9058 0.0037685 **
iis326 -1.025341 0.269055 -3.8109 0.0001495 ***
iis364 -1.014561 0.269728 -3.7614 0.0001817 ***
iis370 -0.984816 0.269736 -3.6510 0.0002788 ***
iis461 -1.017939 0.269357 -3.7791 0.0001695 ***
iis482 -0.704075 0.273809 -2.5714 0.0103148 *
iis483 -0.809264 0.273178 -2.9624 0.0031463 **
iis484 -0.753013 0.273536 -2.7529 0.0060463 **
iis488 -1.308898 0.273929 -4.7782 2.117e-06 ***
iis490 -1.144529 0.273117 -4.1906 3.104e-05 ***
iis498 -1.172418 0.321504 -3.6467 0.0002835 ***
iis518 -0.651029 0.283499 -2.2964 0.0219199 *
iis662 0.752454 0.321808 2.3382 0.0196314 *
iis737 0.661588 0.273984 2.4147 0.0159803 *
iis738 0.581091 0.274663 2.1157 0.0346946 *
iis759 -0.933234 0.321202 -2.9054 0.0037724 **
iis763 -0.915697 0.269104 -3.4028 0.0007015 ***
iis819 -0.888025 0.269191 -3.2989 0.0010153 **
iis841 -0.971968 0.269434 -3.6074 0.0003292 ***
fesisAlabama.2020 -0.535341 0.272582 -1.9640 0.0498937 *
fesisConnecticut.2009 -0.585771 0.121092 -4.8374 1.589e-06 ***
fesisDelaware.2014 -0.864125 0.124669 -6.9313 8.814e-12 ***
fesisDistrictofColumbia.2012 0.286923 0.128917 2.2256 0.0263269 *
fesisHawaii.2009 -0.510064 0.131919 -3.8665 0.0001197 ***
fesisIdaho.2002 0.795086 0.269369 2.9517 0.0032565 **
fesisIowa.2002 0.539298 0.269782 1.9990 0.0459573 *
fesisKansas.2020 1.009352 0.269533 3.7448 0.0001940 ***
fesisLouisiana.2011 -0.687474 0.156590 -4.3903 1.290e-05 ***
fesisLouisiana.2015 0.834426 0.170459 4.8952 1.197e-06 ***
fesisMinnesota.2007 -0.406514 0.128452 -3.1647 0.0016133 **
fesisNebraska.2018 0.533430 0.200752 2.6572 0.0080433 **
fesisNevada.2012 -0.505580 0.134318 -3.7641 0.0001799 ***
fesisNevada.2019 0.863720 0.214206 4.0322 6.075e-05 ***
fesisOregon.2004 -0.463734 0.197617 -2.3466 0.0191964 *
fesisRhodeIsland.2004 -0.818890 0.165307 -4.9538 8.950e-07 ***
fesisSouthCarolina.2008 0.609882 0.128370 4.7510 2.414e-06 ***
fesisSouthDakota.2004 1.232681 0.303093 4.0670 5.252e-05 ***
fesisSouthDakota.2005 -1.395488 0.302940 -4.6065 4.790e-06 ***
fesisSouthDakota.2008 1.364462 0.214553 6.3596 3.465e-10 ***
fesisSouthDakota.2011 -0.657022 0.185488 -3.5421 0.0004208 ***
fesisSouthDakota.2017 0.690828 0.283600 2.4359 0.0150794 *
fesisSouthDakota.2018 -0.867175 0.321275 -2.6992 0.0071036 **
fesisVermont.2010 0.529695 0.175093 3.0252 0.0025671 **
fesisVermont.2013 -0.715816 0.177988 -4.0217 6.346e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.85040 1 0.3564
Ljung-Box ARCH(1) 0.24407 1 0.6213
SE of regression 0.25914
R-squared 0.95651
Log-lik.(n=900) 2.78837 us_q30
Formula: log_patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Mon Mar 27 00:06:29 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 0.105834 0.032753 3.2313 0.0012964 **
lgdp -103.815412 16.169295 -6.4205 2.674e-10 ***
lpop 97.845638 12.656854 7.7306 4.247e-14 ***
lgdp_sq 2.668125 0.543113 4.9127 1.147e-06 ***
avg_temp 0.334449 0.094554 3.5371 0.0004342 ***
idCalifornia 1.985457 0.105291 18.8569 < 2.2e-16 ***
idColorado 0.268426 0.075588 3.5512 0.0004121 ***
idConnecticut 0.829043 0.104148 7.9602 8.024e-15 ***
idDelaware -0.167248 0.084536 -1.9784 0.0483155 *
idDistrictofColumbia -1.339633 0.124354 -10.7728 < 2.2e-16 ***
idFlorida 0.348714 0.076012 4.5876 5.411e-06 ***
idGeorgia -0.290547 0.076075 -3.8192 0.0001471 ***
idIdaho -1.296751 0.089674 -14.4607 < 2.2e-16 ***
idIllinois 0.360009 0.076257 4.7210 2.894e-06 ***
idIndiana -0.632898 0.078114 -8.1023 2.806e-15 ***
idIowa -1.899781 0.248970 -7.6306 8.677e-14 ***
idKentucky -1.411736 0.091848 -15.3703 < 2.2e-16 ***
idMaryland -0.352780 0.075845 -4.6513 4.021e-06 ***
idMassachusetts 0.960693 0.083352 11.5257 < 2.2e-16 ***
idMichigan 0.548375 0.077955 7.0345 5.230e-12 ***
idMinnesota 0.171717 0.075291 2.2807 0.0228991 *
idMissouri -0.874190 0.083289 -10.4959 < 2.2e-16 ***
idNevada -0.736082 0.092009 -8.0001 5.982e-15 ***
idNewHampshire -0.708018 0.079737 -8.8794 < 2.2e-16 ***
idNewJersey 0.250348 0.075598 3.3116 0.0009807 ***
idNewMexico -0.630875 0.077871 -8.1015 2.822e-15 ***
idNewYork 1.159430 0.087115 13.3092 < 2.2e-16 ***
idNorthCarolina 0.260055 0.075598 3.4400 0.0006202 ***
idOhio 0.550881 0.078215 7.0431 4.937e-12 ***
idOklahoma -1.068523 0.084429 -12.6559 < 2.2e-16 ***
idOregon 0.113832 0.176889 0.6435 0.5201175
idPennsylvania 0.608448 0.078663 7.7349 4.120e-14 ***
idRhodeIsland -0.520439 0.149197 -3.4883 0.0005200 ***
idSouthCarolina 0.052905 0.243826 0.2170 0.8282966
idTennessee -0.754443 0.081133 -9.2989 < 2.2e-16 ***
idTexas 0.739404 0.080093 9.2318 < 2.2e-16 ***
idUtah -0.792328 0.082853 -9.5630 < 2.2e-16 ***
idVirginia -0.033707 0.075847 -0.4444 0.6568964
idWashington 0.165583 0.075161 2.2030 0.0279527 *
idWisconsin -0.161904 0.084524 -1.9155 0.0558845 .
time2001 15.301947 2.906194 5.2653 1.923e-07 ***
time2002 14.496834 2.713466 5.3426 1.282e-07 ***
time2003 14.482583 2.547842 5.6843 2.010e-08 ***
time2004 14.173532 2.482453 5.7095 1.747e-08 ***
time2005 13.586621 2.196580 6.1854 1.115e-09 ***
time2006 12.258961 1.907942 6.4252 2.598e-10 ***
time2007 11.141715 1.657905 6.7204 4.063e-11 ***
time2008 9.495042 1.501186 6.3250 4.801e-10 ***
time2009 5.323158 1.107733 4.8055 1.932e-06 ***
time2010 4.941448 1.075190 4.5959 5.208e-06 ***
time2011 4.733189 1.012359 4.6754 3.591e-06 ***
time2012 3.620928 0.736298 4.9177 1.118e-06 ***
time2013 3.262085 0.763515 4.2725 2.232e-05 ***
time2014 1.389198 0.446762 3.1095 0.0019587 **
time2015 0.921829 0.350788 2.6279 0.0088012 **
time2016 0.205151 0.188950 1.0857 0.2780089
iis3 -0.749576 0.243360 -3.0801 0.0021594 **
iis104 -1.048679 0.256107 -4.0947 4.778e-05 ***
iis108 -0.772575 0.294143 -2.6265 0.0088358 **
iis151 0.761903 0.243274 3.1319 0.0018174 **
iis161 -0.791118 0.243605 -3.2475 0.0012259 **
iis222 0.871633 0.244188 3.5695 0.0003849 ***
iis246 -1.104148 0.243065 -4.5426 6.660e-06 ***
iis341 -0.991450 0.243912 -4.0648 5.416e-05 ***
iis378 -1.544534 0.290382 -5.3190 1.452e-07 ***
iis389 -0.724325 0.243225 -2.9780 0.0030128 **
iis522 0.736348 0.290924 2.5311 0.0116138 *
iis529 -0.585279 0.244369 -2.3951 0.0169084 *
iis579 -0.648977 0.244340 -2.6560 0.0081065 **
iis597 0.611699 0.246653 2.4800 0.0133986 *
iis603 -0.936556 0.243260 -3.8500 0.0001302 ***
iis656 -0.720975 0.243434 -2.9617 0.0031748 **
iis659 -0.898655 0.243609 -3.6889 0.0002447 ***
iis661 -0.963670 0.243707 -3.9542 8.550e-05 ***
fesisConnecticut.2009 -0.535558 0.109845 -4.8756 1.375e-06 ***
fesisDelaware.2014 -0.704518 0.118952 -5.9227 5.209e-09 ***
fesisDelaware.2020 -0.685162 0.256017 -2.6762 0.0076389 **
fesisDistrictofColumbia.2008 -0.756478 0.195735 -3.8648 0.0001227 ***
fesisDistrictofColumbia.2011 0.896411 0.196540 4.5610 6.120e-06 ***
fesisDistrictofColumbia.2017 -0.571399 0.256921 -2.2240 0.0265005 *
fesisDistrictofColumbia.2018 0.776637 0.273902 2.8355 0.0047229 **
fesisIowa.2002 0.535750 0.243993 2.1958 0.0284728 *
fesisMissouri.2020 0.521195 0.243707 2.1386 0.0328511 *
fesisNevada.2012 -0.454328 0.121721 -3.7325 0.0002067 ***
fesisNevada.2018 0.885752 0.193584 4.5756 5.722e-06 ***
fesisOregon.2004 -0.388376 0.179816 -2.1599 0.0311608 *
fesisRhodeIsland.2004 -0.735325 0.150380 -4.8898 1.283e-06 ***
fesisSouthCarolina.2002 -0.671201 0.256316 -2.6186 0.0090403 **
fesisSouthCarolina.2008 0.760323 0.120870 6.2904 5.924e-10 ***
fesisWisconsin.2014 0.377387 0.111766 3.3766 0.0007791 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.497443 1 0.4806
Ljung-Box ARCH(1) 0.032508 1 0.8569
SE of regression 0.23353
R-squared 0.95319
Log-lik.(n=720) 70.56918 Patent Count
0.01
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.01; AR: 1
Date: Sun Mar 26 23:50:46 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 6.0292e-01 2.4855e-02 24.2579 < 2.2e-16 ***
lgdp 4.3358e+02 5.5343e+01 7.8344 1.297e-14 ***
lpop -3.1823e+02 3.4082e+01 -9.3369 < 2.2e-16 ***
lgdp_sq -1.7238e+01 3.3042e+00 -5.2169 2.249e-07 ***
avg_temp -3.0570e-01 1.3549e+00 -0.2256 0.8215440
idAlaska -1.0850e+00 1.7630e+00 -0.6154 0.5384368
idArizona 6.8648e+00 1.8160e+00 3.7802 0.0001668 ***
idArkansas -3.3404e-01 1.7617e+00 -0.1896 0.8496508
idCalifornia -5.6185e+01 7.2052e+00 -7.7978 1.704e-14 ***
idColorado 1.0741e+01 1.8846e+00 5.6996 1.617e-08 ***
idConnecticut 1.3403e+01 1.9701e+00 6.8033 1.842e-11 ***
idDelaware 4.1195e+00 1.7830e+00 2.3104 0.0210842 *
idDistrictofColumbia 2.3088e-01 1.7615e+00 0.1311 0.8957494
idFlorida 1.1375e+01 1.8974e+00 5.9951 2.920e-09 ***
idGeorgia 3.5082e+00 1.8185e+00 1.9292 0.0540104 .
idHawaii -5.5834e-02 1.7615e+00 -0.0317 0.9747208
idIdaho 4.2025e-01 1.7616e+00 0.2386 0.8115013
idIllinois 1.0966e+01 1.8991e+00 5.7742 1.057e-08 ***
idIndiana 2.6099e+00 1.7687e+00 1.4756 0.1403880
idIowa 3.6037e-01 1.7616e+00 0.2046 0.8379506
idKansas -5.0278e-02 1.7615e+00 -0.0285 0.9772354
idKentucky 1.2799e-01 1.7615e+00 0.0727 0.9420939
idLouisiana 7.7636e-02 1.7615e+00 0.0441 0.9648544
idMaine 2.2282e-01 1.7615e+00 0.1265 0.8993673
idMaryland 4.1364e+00 1.7797e+00 2.3242 0.0203315 *
idMassachusetts 1.9592e+01 2.3668e+00 8.2779 4.389e-16 ***
idMichigan 1.6090e+01 2.0117e+00 7.9983 3.780e-15 ***
idMinnesota 8.7953e+00 1.8498e+00 4.7548 2.305e-06 ***
idMississippi -7.8571e-01 1.7624e+00 -0.4458 0.6558328
idMissouri 1.6491e+00 1.7641e+00 0.9348 0.3501551
idMontana -6.2543e-01 1.7620e+00 -0.3550 0.7227019
idNebraska -3.1543e-01 1.7617e+00 -0.1790 0.8579391
idNevada 1.5451e+00 1.7643e+00 0.8758 0.3813753
idNewHampshire 1.9167e+00 1.7671e+00 1.0847 0.2783524
idNewJersey 8.5328e+00 1.8933e+00 4.5069 7.428e-06 ***
idNewMexico 2.5894e+00 1.7693e+00 1.4635 0.1436776
idNewYork 3.4890e+01 2.8280e+00 12.3374 < 2.2e-16 ***
idNorthCarolina 9.9066e+00 1.8696e+00 5.2989 1.459e-07 ***
idNorthDakota -7.5293e-01 1.7623e+00 -0.4272 0.6693092
idOhio 1.2795e+01 2.0175e+00 6.3419 3.554e-10 ***
idOklahoma 1.0447e+00 1.7624e+00 0.5928 0.5534690
idOregon 5.0704e+00 1.7914e+00 2.8305 0.0047494 **
idPennsylvania 1.3255e+01 2.0811e+00 6.3694 2.995e-10 ***
idRhodeIsland 6.8777e-01 1.7621e+00 0.3903 0.6963977
idSouthCarolina 7.6944e+00 1.8253e+00 4.2155 2.738e-05 ***
idSouthDakota 2.0902e-03 1.7615e+00 0.0012 0.9990535
idTennessee 2.1958e+00 1.7663e+00 1.2432 0.2141235
idTexas 1.7013e+01 2.1359e+00 7.9651 4.864e-15 ***
idUtah 1.9044e+00 1.7655e+00 1.0786 0.2810291
idVermont -6.2903e-03 1.7615e+00 -0.0036 0.9971515
idVirginia 6.7309e+00 1.8109e+00 3.7169 0.0002139 ***
idWashington 8.9484e+00 1.8483e+00 4.8415 1.511e-06 ***
idWestVirginia -7.1453e-01 1.7621e+00 -0.4055 0.6852098
idWisconsin 6.8605e+00 1.8106e+00 3.7890 0.0001611 ***
idWyoming -5.5557e-01 1.7619e+00 -0.3153 0.7525838
time2001 -2.7119e+01 8.6322e+00 -3.1416 0.0017341 **
time2002 -2.5349e+01 8.0042e+00 -3.1670 0.0015909 **
time2003 -2.5283e+01 6.9398e+00 -3.6432 0.0002844 ***
time2004 -2.3571e+01 4.9415e+00 -4.7701 2.141e-06 ***
time2005 -2.0402e+01 3.7926e+00 -5.3795 9.480e-08 ***
time2006 -1.5350e+01 3.0567e+00 -5.0216 6.153e-07 ***
time2007 -1.1553e+01 2.6561e+00 -4.3494 1.518e-05 ***
time2008 -8.0488e+00 3.2803e+00 -2.4537 0.0143243 *
time2009 -2.8195e+00 3.8738e+00 -0.7278 0.4669081
time2010 -2.5196e+00 3.4790e+00 -0.7242 0.4691160
time2011 -3.1080e+00 2.5420e+00 -1.2227 0.2217753
time2012 -1.2883e+00 2.3251e+00 -0.5541 0.5796609
time2013 -2.0351e+00 3.1127e+00 -0.6538 0.5134095
time2014 -5.6511e+00 3.7855e+00 -1.4928 0.1358279
time2015 -4.2685e-01 1.8183e+00 -0.2347 0.8144573
time2016 -2.1486e+00 1.6631e+00 -1.2919 0.1967019
iis81 1.0896e+02 8.3814e+00 13.0002 < 2.2e-16 ***
iis82 8.6520e+01 8.2019e+00 10.5488 < 2.2e-16 ***
iis83 9.2518e+01 8.2447e+00 11.2216 < 2.2e-16 ***
iis84 1.2134e+02 8.2326e+00 14.7393 < 2.2e-16 ***
iis85 1.2915e+02 8.0736e+00 15.9966 < 2.2e-16 ***
iis86 2.0389e+02 7.9912e+00 25.5148 < 2.2e-16 ***
iis87 1.7951e+02 8.0989e+00 22.1648 < 2.2e-16 ***
iis88 2.0917e+02 8.2677e+00 25.2993 < 2.2e-16 ***
iis89 2.1307e+02 8.6613e+00 24.5997 < 2.2e-16 ***
iis90 1.6166e+02 9.0146e+00 17.9332 < 2.2e-16 ***
iis91 1.7122e+02 8.6701e+00 19.7477 < 2.2e-16 ***
iis92 1.6316e+02 8.5797e+00 19.0166 < 2.2e-16 ***
iis93 1.6523e+02 8.4689e+00 19.5099 < 2.2e-16 ***
iis94 1.1198e+02 8.4108e+00 13.3139 < 2.2e-16 ***
iis95 1.4418e+02 8.0658e+00 17.8760 < 2.2e-16 ***
iis96 1.4595e+02 8.0584e+00 18.1115 < 2.2e-16 ***
iis97 1.1767e+02 8.0609e+00 14.5982 < 2.2e-16 ***
iis98 1.3536e+02 7.9793e+00 16.9638 < 2.2e-16 ***
iis99 1.1028e+02 7.9809e+00 13.8177 < 2.2e-16 ***
iis211 2.7836e+01 5.7771e+00 4.8183 1.693e-06 ***
iis426 2.8891e+01 5.7907e+00 4.9892 7.249e-07 ***
iis428 4.7837e+01 5.7811e+00 8.2747 4.499e-16 ***
iis453 -2.0389e+01 5.8091e+00 -3.5099 0.0004700 ***
iis613 2.5215e+01 5.7757e+00 4.3657 1.411e-05 ***
iis713 2.5637e+01 5.7787e+00 4.4364 1.026e-05 ***
iis767 3.2004e+01 5.7811e+00 5.5360 4.037e-08 ***
iis770 2.6024e+01 5.7841e+00 4.4992 7.694e-06 ***
iis869 2.8137e+01 5.7744e+00 4.8728 1.296e-06 ***
fesisNewYork.2012 -1.0138e+01 2.6148e+00 -3.8772 0.0001132 ***
fesisNewYork.2020 -3.2322e+01 5.9868e+00 -5.3989 8.537e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 28.34 1 1.018e-07 ***
Ljung-Box ARCH(1) 19.89 1 8.205e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.57026
R-squared 0.97812
Log-lik.(n=1020) -3148.60778 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.01; AR: 1
Date: Sun Mar 26 23:54:30 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.9079e-01 2.7303e-02 21.6380 < 2.2e-16 ***
lgdp 4.8999e+02 6.2857e+01 7.7953 1.980e-14 ***
lpop -3.5937e+02 3.8722e+01 -9.2808 < 2.2e-16 ***
lgdp_sq -1.9520e+01 3.7520e+00 -5.2024 2.496e-07 ***
avg_temp -2.9480e-01 1.5384e+00 -0.1916 0.8480810
idArizona 7.0803e+00 1.9378e+00 3.6537 0.0002752 ***
idArkansas -3.4721e-01 1.8764e+00 -0.1850 0.8532420
idCalifornia -5.2790e+01 7.7725e+00 -6.7919 2.147e-11 ***
idColorado 1.1068e+01 2.0154e+00 5.4920 5.327e-08 ***
idConnecticut 1.3833e+01 2.1117e+00 6.5508 1.018e-10 ***
idDelaware 4.2543e+00 1.9005e+00 2.2385 0.0254623 *
idDistrictofColumbia 2.3564e-01 1.8762e+00 0.1256 0.9000839
idFlorida 1.1719e+01 2.0298e+00 5.7735 1.107e-08 ***
idGeorgia 3.6916e+00 1.9395e+00 1.9034 0.0573435 .
idHawaii -6.0975e-02 1.8762e+00 -0.0325 0.9740817
idIdaho 4.3095e-01 1.8763e+00 0.2297 0.8184001
idIllinois 1.1312e+01 2.0317e+00 5.5678 3.514e-08 ***
idIndiana 2.6877e+00 1.8843e+00 1.4263 0.1541553
idIowa 3.6883e-01 1.8762e+00 0.1966 0.8442070
idKansas -5.5123e-02 1.8762e+00 -0.0294 0.9765685
idKentucky 1.3139e-01 1.8762e+00 0.0700 0.9441877
idLouisiana 7.9117e-02 1.8762e+00 0.0422 0.9663738
idMaine 2.2512e-01 1.8762e+00 0.1200 0.9045211
idMaryland 4.2604e+00 1.8968e+00 2.2461 0.0249674 *
idMassachusetts 2.0362e+01 2.5540e+00 7.9724 5.310e-15 ***
idMichigan 1.6547e+01 2.1578e+00 7.6685 5.008e-14 ***
idMinnesota 9.0708e+00 1.9760e+00 4.5904 5.128e-06 ***
idMissouri 1.6965e+00 1.8792e+00 0.9028 0.3669218
idNebraska -3.2850e-01 1.8764e+00 -0.1751 0.8610696
idNevada 1.5935e+00 1.8793e+00 0.8479 0.3967448
idNewHampshire 1.9852e+00 1.8825e+00 1.0546 0.2919406
idNewJersey 8.8446e+00 2.0241e+00 4.3695 1.408e-05 ***
idNewMexico 2.6705e+00 1.8850e+00 1.4167 0.1569540
idNewYork 3.1481e+01 2.8239e+00 11.1483 < 2.2e-16 ***
idNorthCarolina 1.0212e+01 1.9984e+00 5.1103 4.019e-07 ***
idOhio 1.3257e+01 2.1643e+00 6.1256 1.411e-09 ***
idOklahoma 1.0729e+00 1.8772e+00 0.5715 0.5677874
idOregon 5.2294e+00 1.9100e+00 2.7379 0.0063192 **
idPennsylvania 1.5151e+01 2.2155e+00 6.8389 1.576e-11 ***
idRhodeIsland 7.1083e-01 1.8769e+00 0.3787 0.7049885
idSouthCarolina 7.9278e+00 1.9483e+00 4.0690 5.185e-05 ***
idSouthDakota -5.1859e-04 1.8762e+00 -0.0003 0.9997795
idTennessee 2.2593e+00 1.8816e+00 1.2008 0.2301967
idTexas 1.7619e+01 2.2973e+00 7.6697 4.965e-14 ***
idUtah 1.9627e+00 1.8807e+00 1.0436 0.2969827
idVermont -7.6279e-03 1.8762e+00 -0.0041 0.9967571
idVirginia 6.9360e+00 1.9321e+00 3.5898 0.0003509 ***
idWashington 9.2216e+00 1.9744e+00 4.6707 3.516e-06 ***
idWisconsin 7.0649e+00 1.9318e+00 3.6572 0.0002715 ***
time2001 -3.0626e+01 9.8011e+00 -3.1247 0.0018433 **
time2002 -2.8706e+01 9.0880e+00 -3.1587 0.0016438 **
time2003 -2.8525e+01 7.8794e+00 -3.6202 0.0003128 ***
time2004 -2.6447e+01 5.6105e+00 -4.7137 2.864e-06 ***
time2005 -2.2836e+01 4.3059e+00 -5.3035 1.468e-07 ***
time2006 -1.7339e+01 3.4701e+00 -4.9967 7.155e-07 ***
time2007 -1.2778e+01 3.0150e+00 -4.2380 2.516e-05 ***
time2008 -8.8037e+00 3.7240e+00 -2.3641 0.0183113 *
time2009 -2.9350e+00 4.3985e+00 -0.6673 0.5047857
time2010 -1.9164e+00 3.9487e+00 -0.4853 0.6275874
time2011 -3.2455e+00 2.8882e+00 -1.1237 0.2614696
time2012 -1.3768e+00 2.6420e+00 -0.5211 0.6024290
time2013 -2.1278e+00 3.5361e+00 -0.6017 0.5475180
time2014 -6.2346e+00 4.2986e+00 -1.4504 0.1473436
time2015 -5.1731e-01 2.0646e+00 -0.2506 0.8022199
time2016 -2.4202e+00 1.8885e+00 -1.2815 0.2003714
iis61 1.0661e+02 8.9589e+00 11.8996 < 2.2e-16 ***
iis62 8.4403e+01 8.7587e+00 9.6365 < 2.2e-16 ***
iis63 9.0396e+01 8.8077e+00 10.2633 < 2.2e-16 ***
iis64 1.1903e+02 8.7941e+00 13.5354 < 2.2e-16 ***
iis65 1.2707e+02 8.6169e+00 14.7470 < 2.2e-16 ***
iis66 2.0221e+02 8.5254e+00 23.7186 < 2.2e-16 ***
iis67 1.7856e+02 8.6468e+00 20.6503 < 2.2e-16 ***
iis68 2.0856e+02 8.8342e+00 23.6081 < 2.2e-16 ***
iis69 2.1281e+02 9.2727e+00 22.9499 < 2.2e-16 ***
iis70 1.6134e+02 9.6606e+00 16.7004 < 2.2e-16 ***
iis71 1.7135e+02 9.2769e+00 18.4705 < 2.2e-16 ***
iis72 1.6324e+02 9.1781e+00 17.7854 < 2.2e-16 ***
iis73 1.6528e+02 9.0552e+00 18.2530 < 2.2e-16 ***
iis74 1.1256e+02 8.9903e+00 12.5196 < 2.2e-16 ***
iis75 1.4357e+02 8.6085e+00 16.6781 < 2.2e-16 ***
iis76 1.4558e+02 8.5998e+00 16.9287 < 2.2e-16 ***
iis77 1.1710e+02 8.6037e+00 13.6109 < 2.2e-16 ***
iis78 1.3456e+02 8.5114e+00 15.8099 < 2.2e-16 ***
iis79 1.0961e+02 8.5134e+00 12.8744 < 2.2e-16 ***
iis191 2.7454e+01 6.1632e+00 4.4545 9.596e-06 ***
iis406 2.8658e+01 6.1764e+00 4.6400 4.065e-06 ***
iis408 4.7382e+01 6.1660e+00 7.6843 4.463e-14 ***
iis433 -2.0162e+01 6.1963e+00 -3.2538 0.0011861 **
iis553 2.5123e+01 6.1611e+00 4.0776 5.000e-05 ***
iis633 2.5468e+01 6.1652e+00 4.1309 3.991e-05 ***
iis687 3.0209e+01 6.1574e+00 4.9061 1.124e-06 ***
iis789 2.7517e+01 6.1586e+00 4.4681 9.017e-06 ***
fesisNewYork.2020 -3.7069e+01 6.1781e+00 -6.0001 2.976e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 21.90 1 2.873e-06 ***
Ljung-Box ARCH(1) 12.44 1 0.0004202 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.93291
R-squared 0.97734
Log-lik.(n=900) -2833.00785 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.01; AR: 1
Date: Sun Mar 26 23:55:08 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.5925e-01 3.2113e-02 17.4153 < 2.2e-16 ***
lgdp -1.0907e+03 4.5240e+02 -2.4110 0.0161903 *
lpop 1.0526e+03 3.5412e+02 2.9725 0.0030652 **
lgdp_sq 2.6632e+01 1.5194e+01 1.7528 0.0801104 .
avg_temp 3.2913e+00 2.6438e+00 1.2449 0.2136216
idCalifornia -5.2208e+01 8.4907e+00 -6.1488 1.376e-09 ***
idColorado 4.2780e+00 2.0985e+00 2.0386 0.0418983 *
idConnecticut 7.3124e+00 2.1542e+00 3.3944 0.0007302 ***
idDelaware -3.0359e+00 2.0886e+00 -1.4536 0.1465537
idDistrictofColumbia -7.3926e+00 2.1512e+00 -3.4365 0.0006276 ***
idFlorida 4.9735e+00 2.1054e+00 2.3623 0.0184599 *
idGeorgia -3.4899e+00 2.1088e+00 -1.6549 0.0984261 .
idIdaho -7.1818e+00 2.1472e+00 -3.3447 0.0008718 ***
idIllinois 4.5718e+00 2.1063e+00 2.1706 0.0303323 *
idIndiana -4.7507e+00 2.1094e+00 -2.2522 0.0246493 *
idIowa -7.2497e+00 2.1487e+00 -3.3740 0.0007856 ***
idKentucky -7.5004e+00 2.1522e+00 -3.4850 0.0005257 ***
idMaryland -3.0577e+00 2.0917e+00 -1.4619 0.1442719
idMassachusetts 1.4712e+01 2.5529e+00 5.7629 1.286e-08 ***
idMichigan 1.0191e+01 2.1981e+00 4.6361 4.307e-06 ***
idMinnesota 2.1467e+00 2.0837e+00 1.0303 0.3032762
idMissouri -5.8209e+00 2.1247e+00 -2.7396 0.0063235 **
idNevada -5.9214e+00 2.1242e+00 -2.7876 0.0054684 **
idNewHampshire -5.4772e+00 2.1137e+00 -2.5913 0.0097811 **
idNewJersey 3.2590e+00 2.0918e+00 1.5580 0.1197279
idNewMexico -4.7589e+00 2.1078e+00 -2.2578 0.0242976 *
idNewYork 2.7618e+01 2.8943e+00 9.5422 < 2.2e-16 ***
idNorthCarolina 3.3667e+00 2.0913e+00 1.6098 0.1079259
idOhio 8.0713e+00 2.1716e+00 3.7167 0.0002195 ***
idOklahoma -6.4944e+00 2.1360e+00 -3.0405 0.0024587 **
idOregon -1.9977e+00 2.0830e+00 -0.9591 0.3378952
idPennsylvania 8.8269e+00 2.2411e+00 3.9387 9.093e-05 ***
idRhodeIsland -6.8698e+00 2.1392e+00 -3.2114 0.0013870 **
idSouthCarolina 8.9414e-01 2.0782e+00 0.4303 0.6671539
idTennessee -5.2159e+00 2.1162e+00 -2.4648 0.0139716 *
idTexas 1.2851e+01 2.2858e+00 5.6221 2.821e-08 ***
idUtah -5.5261e+00 2.1188e+00 -2.6081 0.0093188 **
idVirginia -1.7128e-01 2.0778e+00 -0.0824 0.9343281
idWashington 2.2913e+00 2.0832e+00 1.0999 0.2717911
idWisconsin -4.4037e-02 2.0778e+00 -0.0212 0.9830975
time2001 1.5626e+02 8.1287e+01 1.9223 0.0550070 .
time2002 1.4906e+02 7.5897e+01 1.9639 0.0499692 *
time2003 1.4906e+02 7.1268e+01 2.0915 0.0368778 *
time2004 1.4710e+02 6.9439e+01 2.1184 0.0345296 *
time2005 1.4225e+02 6.1444e+01 2.3152 0.0209202 *
time2006 1.2902e+02 5.3371e+01 2.4175 0.0159085 *
time2007 1.1811e+02 4.6378e+01 2.5467 0.0111081 *
time2008 1.0027e+02 4.1994e+01 2.3878 0.0172385 *
time2009 5.4572e+01 3.0981e+01 1.7615 0.0786344 .
time2010 4.9982e+01 3.0074e+01 1.6620 0.0970111 .
time2011 4.5670e+01 2.8320e+01 1.6126 0.1073157
time2012 3.5120e+01 2.0597e+01 1.7051 0.0886636 .
time2013 3.1939e+01 2.1356e+01 1.4956 0.1352594
time2014 8.0952e+00 1.2493e+01 0.6480 0.5172231
time2015 7.4091e+00 9.8018e+00 0.7559 0.4499955
time2016 -2.0212e+00 5.2738e+00 -0.3833 0.7016597
iis21 1.0140e+02 1.0000e+01 10.1397 < 2.2e-16 ***
iis22 7.9396e+01 9.7546e+00 8.1393 2.082e-15 ***
iis23 8.5658e+01 9.8205e+00 8.7223 < 2.2e-16 ***
iis24 1.1395e+02 9.8025e+00 11.6241 < 2.2e-16 ***
iis25 1.2293e+02 9.5857e+00 12.8247 < 2.2e-16 ***
iis26 1.9815e+02 9.4735e+00 20.9165 < 2.2e-16 ***
iis27 1.7770e+02 9.6175e+00 18.4766 < 2.2e-16 ***
iis28 2.0804e+02 9.8451e+00 21.1316 < 2.2e-16 ***
iis29 2.1286e+02 1.0369e+01 20.5289 < 2.2e-16 ***
iis30 1.6282e+02 1.0837e+01 15.0248 < 2.2e-16 ***
iis31 1.7264e+02 1.0363e+01 16.6594 < 2.2e-16 ***
iis32 1.6425e+02 1.0249e+01 16.0258 < 2.2e-16 ***
iis33 1.6419e+02 1.0106e+01 16.2458 < 2.2e-16 ***
iis34 1.1411e+02 1.0024e+01 11.3840 < 2.2e-16 ***
iis35 1.4241e+02 9.5708e+00 14.8800 < 2.2e-16 ***
iis36 1.4539e+02 9.5594e+00 15.2090 < 2.2e-16 ***
iis37 1.1600e+02 9.5693e+00 12.1217 < 2.2e-16 ***
iis38 1.3221e+02 9.4521e+00 13.9875 < 2.2e-16 ***
iis39 1.0769e+02 9.4546e+00 11.3903 < 2.2e-16 ***
iis151 2.6816e+01 6.8501e+00 3.9147 0.0001002 ***
iis286 2.7779e+01 6.8601e+00 4.0494 5.766e-05 ***
iis288 4.6671e+01 6.8487e+00 6.8146 2.190e-11 ***
iis313 -2.1516e+01 6.8798e+00 -3.1274 0.0018439 **
iis547 3.0160e+01 6.8391e+00 4.4099 1.213e-05 ***
fesisNewYork.2018 -2.1651e+01 4.1934e+00 -5.1630 3.249e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 17.127 1 3.496e-05 ***
Ljung-Box ARCH(1) 15.648 1 7.629e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.56998
R-squared 0.97631
Log-lik.(n=720) -2336.54319 0.05
us_all
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_all (2000:2020); p.value: 0.05; AR: 1
Date: Sun Mar 26 23:50:35 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 1020
Sample: 1 to 1020
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.9379e-01 2.3589e-02 25.1722 < 2.2e-16 ***
lgdp 3.6680e+02 5.0179e+01 7.3098 5.915e-13 ***
lpop -3.0350e+02 3.0479e+01 -9.9579 < 2.2e-16 ***
lgdp_sq -1.2159e+01 3.0190e+00 -4.0276 6.111e-05 ***
avg_temp -1.3271e+00 1.2141e+00 -1.0931 0.2746581
idAlaska -1.1121e+00 1.5714e+00 -0.7077 0.4792998
idArizona 7.0269e+00 1.6248e+00 4.3249 1.697e-05 ***
idArkansas -3.4395e-01 1.5700e+00 -0.2191 0.8266396
idCalifornia -5.5266e+01 6.5792e+00 -8.4002 < 2.2e-16 ***
idColorado 1.0987e+01 1.6937e+00 6.4872 1.443e-10 ***
idConnecticut 2.0526e+01 2.2961e+00 8.9396 < 2.2e-16 ***
idDelaware 4.2209e+00 1.5915e+00 2.6521 0.0081401 **
idDistrictofColumbia 2.3446e-01 1.5698e+00 0.1494 0.8813073
idFlorida 1.1634e+01 1.7065e+00 6.8173 1.701e-11 ***
idGeorgia 3.6096e+00 1.6245e+00 2.2220 0.0265318 *
idHawaii -5.9702e-02 1.5698e+00 -0.0380 0.9696712
idIdaho 4.2830e-01 1.5699e+00 0.2728 0.7850599
idIllinois 1.1226e+01 1.7082e+00 6.5720 8.407e-11 ***
idIndiana 2.6684e+00 1.5771e+00 1.6920 0.0909909 .
idIowa 3.6673e-01 1.5699e+00 0.2336 0.8153434
idKansas -5.3924e-02 1.5698e+00 -0.0344 0.9726056
idKentucky 1.3054e-01 1.5698e+00 0.0832 0.9337430
idLouisiana 7.8750e-02 1.5698e+00 0.0502 0.9600013
idMaine 2.2455e-01 1.5698e+00 0.1430 0.8862877
idMaryland 4.2297e+00 1.5882e+00 2.6632 0.0078789 **
idMassachusetts 2.1536e+01 2.1931e+00 9.8202 < 2.2e-16 ***
idMichigan 1.8140e+01 2.0892e+00 8.6827 < 2.2e-16 ***
idMinnesota 9.0026e+00 1.6588e+00 5.4273 7.361e-08 ***
idMississippi -8.0664e-01 1.5707e+00 -0.5135 0.6076961
idMissouri 1.6847e+00 1.5725e+00 1.0714 0.2842926
idMontana -6.4105e-01 1.5703e+00 -0.4082 0.6832012
idNebraska -3.2526e-01 1.5700e+00 -0.2072 0.8359225
idNevada 1.5815e+00 1.5726e+00 1.0057 0.3148548
idNewHampshire 1.9682e+00 1.5754e+00 1.2493 0.2118728
idNewJersey 1.0835e+01 1.9131e+00 5.6637 1.994e-08 ***
idNewMexico 2.6504e+00 1.5777e+00 1.6799 0.0933199 .
idNewYork 2.0450e+01 3.5932e+00 5.6914 1.705e-08 ***
idNorthCarolina 1.0137e+01 1.6786e+00 6.0387 2.273e-09 ***
idNorthDakota -7.7310e-01 1.5707e+00 -0.4922 0.6226874
idOhio 1.3380e+01 2.0548e+00 6.5116 1.236e-10 ***
idOklahoma 1.0659e+00 1.5708e+00 0.6786 0.4975522
idOregon 5.1900e+00 1.6000e+00 3.2438 0.0012229 **
idPennsylvania 1.3573e+01 1.8844e+00 7.2027 1.249e-12 ***
idRhodeIsland 7.0512e-01 1.5704e+00 0.4490 0.6535436
idSouthCarolina 6.8203e+00 1.6531e+00 4.1258 4.039e-05 ***
idSouthDakota 1.2724e-04 1.5698e+00 0.0001 0.9999353
idTennessee 2.2436e+00 1.5747e+00 1.4248 0.1545542
idTexas 1.3536e+01 2.3116e+00 5.8556 6.661e-09 ***
idUtah 1.9483e+00 1.5739e+00 1.2379 0.2160825
idVermont -7.2968e-03 1.5698e+00 -0.0046 0.9962923
idVirginia 6.8852e+00 1.6197e+00 4.2510 2.351e-05 ***
idWashington 8.3212e+00 2.1325e+00 3.9022 0.0001025 ***
idWestVirginia -7.3220e-01 1.5705e+00 -0.4662 0.6411630
idWisconsin 7.0143e+00 1.6194e+00 4.3315 1.648e-05 ***
idWyoming -5.6942e-01 1.5702e+00 -0.3626 0.7169589
time2001 -1.4720e+01 7.8804e+00 -1.8679 0.0621038 .
time2002 -1.3562e+01 7.3167e+00 -1.8536 0.0641224 .
time2003 -1.5704e+01 6.3206e+00 -2.4845 0.0131545 *
time2004 -1.7707e+01 4.4972e+00 -3.9372 8.880e-05 ***
time2005 -1.6464e+01 3.4343e+00 -4.7941 1.912e-06 ***
time2006 -1.1615e+01 2.7830e+00 -4.1736 3.290e-05 ***
time2007 -9.1374e+00 2.4221e+00 -3.7726 0.0001722 ***
time2008 -6.6201e+00 2.9472e+00 -2.2462 0.0249312 *
time2009 8.2012e-02 3.5016e+00 0.0234 0.9813193
time2010 -5.2342e-01 3.1242e+00 -0.1675 0.8669848
time2011 -1.0183e+00 2.3033e+00 -0.4421 0.6585025
time2012 2.0564e+00 2.1253e+00 0.9676 0.3335174
time2013 -2.0316e+00 2.7782e+00 -0.7313 0.4647992
time2014 -5.1548e+00 3.3751e+00 -1.5273 0.1270377
time2015 1.8808e+00 1.6593e+00 1.1334 0.2573311
time2016 5.2134e-01 1.5181e+00 0.3434 0.7313660
iis81 1.0890e+02 7.5288e+00 14.4641 < 2.2e-16 ***
iis82 8.6651e+01 7.3441e+00 11.7988 < 2.2e-16 ***
iis83 9.2220e+01 7.3862e+00 12.4854 < 2.2e-16 ***
iis84 1.2156e+02 7.3760e+00 16.4804 < 2.2e-16 ***
iis85 1.2914e+02 7.2127e+00 17.9048 < 2.2e-16 ***
iis86 2.0409e+02 7.1284e+00 28.6303 < 2.2e-16 ***
iis87 1.8141e+02 7.2348e+00 25.0747 < 2.2e-16 ***
iis88 2.1129e+02 7.4066e+00 28.5276 < 2.2e-16 ***
iis89 2.1596e+02 7.7984e+00 27.6932 < 2.2e-16 ***
iis90 1.6427e+02 8.1541e+00 20.1455 < 2.2e-16 ***
iis91 1.7365e+02 7.8091e+00 22.2363 < 2.2e-16 ***
iis92 1.6481e+02 7.7214e+00 21.3451 < 2.2e-16 ***
iis93 1.6707e+02 7.6083e+00 21.9591 < 2.2e-16 ***
iis94 1.1306e+02 7.5512e+00 14.9718 < 2.2e-16 ***
iis95 1.4508e+02 7.2012e+00 20.1461 < 2.2e-16 ***
iis96 1.4627e+02 7.1926e+00 20.3367 < 2.2e-16 ***
iis97 1.1953e+02 7.1962e+00 16.6105 < 2.2e-16 ***
iis98 1.3544e+02 7.1132e+00 19.0399 < 2.2e-16 ***
iis99 1.1036e+02 7.1149e+00 15.5115 < 2.2e-16 ***
iis211 2.8280e+01 5.1501e+00 5.4911 5.200e-08 ***
iis426 2.7176e+01 5.1715e+00 5.2550 1.850e-07 ***
iis428 4.7077e+01 5.1609e+00 9.1218 < 2.2e-16 ***
iis449 2.2147e+01 5.2407e+00 4.2260 2.622e-05 ***
iis453 -1.3941e+01 5.4071e+00 -2.5783 0.0100862 *
iis613 2.8879e+01 5.3643e+00 5.3835 9.332e-08 ***
iis641 2.0478e+01 5.8218e+00 3.5175 0.0004575 ***
iis642 1.8375e+01 5.7919e+00 3.1725 0.0015626 **
iis644 2.4949e+01 5.7981e+00 4.3030 1.870e-05 ***
iis653 1.8765e+01 6.1496e+00 3.0514 0.0023448 **
iis655 1.6508e+01 6.1699e+00 2.6755 0.0075970 **
iis657 3.3404e+01 5.6160e+00 5.9479 3.887e-09 ***
iis707 2.0685e+01 5.2391e+00 3.9482 8.488e-05 ***
iis713 3.2191e+01 5.4263e+00 5.9324 4.259e-09 ***
iis717 2.1925e+01 5.4242e+00 4.0421 5.752e-05 ***
iis767 3.2742e+01 5.1536e+00 6.3531 3.349e-10 ***
iis770 2.6533e+01 5.1563e+00 5.1457 3.274e-07 ***
iis817 2.0996e+01 5.1481e+00 4.0783 4.938e-05 ***
iis869 1.3154e+01 6.1446e+00 2.1407 0.0325664 *
iis951 2.2253e+01 5.2637e+00 4.2277 2.603e-05 ***
fesisConnecticut.2009 -1.1333e+01 2.3000e+00 -4.9273 9.928e-07 ***
fesisMassachusetts.2020 -2.5343e+01 5.1642e+00 -4.9075 1.095e-06 ***
fesisMichigan.2013 -7.8185e+00 2.4307e+00 -3.2166 0.0013437 **
fesisNewJersey.2013 -5.6367e+00 2.3875e+00 -2.3609 0.0184458 *
fesisNewYork.2007 2.1208e+01 3.6665e+00 5.7844 1.005e-08 ***
fesisNewYork.2012 -2.1769e+01 4.2050e+00 -5.1770 2.784e-07 ***
fesisNewYork.2016 -1.0890e+01 4.3892e+00 -2.4811 0.0132786 *
fesisOhio.2013 -6.7539e+00 2.5509e+00 -2.6476 0.0082481 **
fesisTexas.2008 1.9906e+01 4.0650e+00 4.8968 1.155e-06 ***
fesisTexas.2011 -1.6559e+01 3.8861e+00 -4.2610 2.250e-05 ***
fesisWashington.2009 2.0353e+01 5.3215e+00 3.8246 0.0001400 ***
fesisWashington.2010 -2.2712e+01 5.2648e+00 -4.3139 1.782e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 25.238 1 5.066e-07 ***
Ljung-Box ARCH(1) 11.475 1 0.0007056 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 4.96412
R-squared 0.98302
Log-lik.(n=1020) -3020.59860 us_q20
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q20 (2000:2020); p.value: 0.05; AR: 1
Date: Sun Mar 26 23:54:29 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 900
Sample: 1 to 900
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.8633e-01 2.6634e-02 22.0145 < 2.2e-16 ***
lgdp 4.6931e+02 5.9566e+01 7.8789 1.083e-14 ***
lpop -3.7459e+02 3.6157e+01 -10.3599 < 2.2e-16 ***
lgdp_sq -1.6608e+01 3.5876e+00 -4.6294 4.281e-06 ***
avg_temp -1.0911e+00 1.4507e+00 -0.7521 0.4522032
idArizona 7.1596e+00 1.8241e+00 3.9250 9.423e-05 ***
idArkansas -3.5206e-01 1.7619e+00 -0.1998 0.8416733
idCalifornia -5.1969e+01 7.4155e+00 -7.0081 5.151e-12 ***
idColorado 1.1189e+01 1.9023e+00 5.8816 5.980e-09 ***
idConnecticut 1.3992e+01 1.9993e+00 6.9984 5.501e-12 ***
idDelaware 4.3039e+00 1.7863e+00 2.4093 0.0162078 *
idDistrictofColumbia 2.3739e-01 1.7617e+00 0.1348 0.8928413
idFlorida 1.1846e+01 1.9169e+00 6.1797 1.025e-09 ***
idGeorgia 3.7298e+00 1.8239e+00 2.0450 0.0411871 *
idHawaii -6.2868e-02 1.7617e+00 -0.0357 0.9715415
idIdaho 4.3488e-01 1.7618e+00 0.2468 0.8050952
idIllinois 1.1439e+01 1.9188e+00 5.9618 3.748e-09 ***
idIndiana 2.7163e+00 1.7699e+00 1.5347 0.1252519
idIowa 3.7194e-01 1.7617e+00 0.2111 0.8328456
idKansas -5.6906e-02 1.7617e+00 -0.0323 0.9742392
idKentucky 1.3264e-01 1.7617e+00 0.0753 0.9400018
idLouisiana 7.9662e-02 1.7616e+00 0.0452 0.9639433
idMaine 2.2597e-01 1.7617e+00 0.1283 0.8979681
idMaryland 4.3061e+00 1.7826e+00 2.4156 0.0159316 *
idMassachusetts 2.0612e+01 2.4389e+00 8.4514 < 2.2e-16 ***
idMichigan 1.7878e+01 2.3789e+00 7.5154 1.528e-13 ***
idMinnesota 9.1723e+00 1.8627e+00 4.9243 1.030e-06 ***
idMissouri 1.7139e+00 1.7647e+00 0.9712 0.3317432
idNebraska -3.3331e-01 1.7619e+00 -0.1892 0.8500026
idNevada 1.6113e+00 1.7648e+00 0.9130 0.3615311
idNewHampshire 2.0104e+00 1.7681e+00 1.1371 0.2558495
idNewJersey 8.9604e+00 1.9093e+00 4.6931 3.168e-06 ***
idNewMexico 2.7004e+00 1.7706e+00 1.5251 0.1276296
idNewYork 3.3576e+01 2.8796e+00 11.6600 < 2.2e-16 ***
idNorthCarolina 1.0325e+01 1.8852e+00 5.4767 5.813e-08 ***
idOhio 1.3413e+01 2.3091e+00 5.8087 9.099e-09 ***
idOklahoma 1.0833e+00 1.7627e+00 0.6146 0.5390243
idOregon 5.2879e+00 1.7959e+00 2.9444 0.0033299 **
idPennsylvania 1.3940e+01 2.1192e+00 6.5781 8.628e-11 ***
idRhodeIsland 7.1931e-01 1.7624e+00 0.4081 0.6832737
idSouthCarolina 8.0137e+00 1.8347e+00 4.3679 1.420e-05 ***
idSouthDakota -1.4788e-03 1.7617e+00 -0.0008 0.9993304
idTennessee 2.2827e+00 1.7672e+00 1.2918 0.1968172
idTexas 1.3696e+01 2.6024e+00 5.2629 1.825e-07 ***
idUtah 1.9842e+00 1.7663e+00 1.1234 0.2616141
idVermont -8.1202e-03 1.7616e+00 -0.0046 0.9963234
idVirginia 7.0115e+00 1.8183e+00 3.8561 0.0001245 ***
idWashington 9.0979e+00 2.2374e+00 4.0662 5.253e-05 ***
idWisconsin 7.1402e+00 1.8180e+00 3.9276 9.325e-05 ***
time2001 -2.1803e+01 9.3759e+00 -2.3254 0.0203022 *
time2002 -2.0464e+01 8.7017e+00 -2.3517 0.0189294 *
time2003 -2.2338e+01 7.5222e+00 -2.9696 0.0030715 **
time2004 -2.3292e+01 5.3501e+00 -4.3535 1.515e-05 ***
time2005 -2.1326e+01 4.0864e+00 -5.2188 2.300e-07 ***
time2006 -1.5766e+01 3.3061e+00 -4.7686 2.206e-06 ***
time2007 -1.1855e+01 2.8775e+00 -4.1199 4.187e-05 ***
time2008 -8.4184e+00 3.5163e+00 -2.3941 0.0168906 *
time2009 -5.6363e-01 4.1721e+00 -0.1351 0.8925729
time2010 -1.4222e+00 3.7312e+00 -0.3812 0.7031887
time2011 -2.0026e+00 2.7458e+00 -0.7293 0.4660238
time2012 9.5534e-01 2.5256e+00 0.3783 0.7053361
time2013 -2.2395e+00 3.3221e+00 -0.6741 0.5004274
time2014 -6.1715e+00 4.0371e+00 -1.5287 0.1267442
time2015 1.2421e+00 1.9713e+00 0.6301 0.5287963
time2016 -2.9963e-01 1.8066e+00 -0.1659 0.8683121
iis61 1.0603e+02 8.4552e+00 12.5401 < 2.2e-16 ***
iis62 8.3940e+01 8.2510e+00 10.1733 < 2.2e-16 ***
iis63 8.9902e+01 8.3011e+00 10.8302 < 2.2e-16 ***
iis64 1.1882e+02 8.2906e+00 14.3324 < 2.2e-16 ***
iis65 1.2672e+02 8.1056e+00 15.6337 < 2.2e-16 ***
iis66 2.0197e+02 8.0108e+00 25.2121 < 2.2e-16 ***
iis67 1.7922e+02 8.1273e+00 22.0520 < 2.2e-16 ***
iis68 2.0940e+02 8.3173e+00 25.1767 < 2.2e-16 ***
iis69 2.1371e+02 8.7563e+00 24.4064 < 2.2e-16 ***
iis70 1.6312e+02 9.1501e+00 17.8267 < 2.2e-16 ***
iis71 1.7238e+02 8.7624e+00 19.6729 < 2.2e-16 ***
iis72 1.6363e+02 8.6639e+00 18.8863 < 2.2e-16 ***
iis73 1.6571e+02 8.5403e+00 19.4037 < 2.2e-16 ***
iis74 1.1273e+02 8.4758e+00 13.2998 < 2.2e-16 ***
iis75 1.4350e+02 8.0906e+00 17.7361 < 2.2e-16 ***
iis76 1.4497e+02 8.0804e+00 17.9405 < 2.2e-16 ***
iis77 1.1770e+02 8.0844e+00 14.5594 < 2.2e-16 ***
iis78 1.3383e+02 7.9918e+00 16.7454 < 2.2e-16 ***
iis79 1.0887e+02 7.9938e+00 13.6195 < 2.2e-16 ***
iis191 2.7899e+01 5.7892e+00 4.8192 1.726e-06 ***
iis406 2.8556e+01 5.8013e+00 4.9224 1.040e-06 ***
iis408 4.7887e+01 5.7905e+00 8.2700 5.603e-16 ***
iis429 2.1395e+01 5.9109e+00 3.6196 0.0003137 ***
iis433 -1.5826e+01 6.0139e+00 -2.6316 0.0086634 **
iis553 2.5068e+01 5.7853e+00 4.3331 1.659e-05 ***
iis584 1.2205e+01 5.8462e+00 2.0877 0.0371410 *
iis597 3.2389e+01 6.3106e+00 5.1324 3.598e-07 ***
iis627 2.0300e+01 5.8878e+00 3.4478 0.0005950 ***
iis633 3.1259e+01 6.0988e+00 5.1254 3.729e-07 ***
iis637 2.1014e+01 6.0947e+00 3.4479 0.0005946 ***
iis687 3.2043e+01 5.7916e+00 5.5327 4.282e-08 ***
iis690 2.6103e+01 5.7932e+00 4.5059 7.600e-06 ***
fesisMichigan.2012 -5.4354e+00 2.6756e+00 -2.0314 0.0425435 *
fesisNewYork.2016 -2.3360e+01 3.2104e+00 -7.2763 8.229e-13 ***
fesisOhio.2013 -5.8585e+00 2.8662e+00 -2.0440 0.0412832 *
fesisTexas.2008 2.3779e+01 3.9349e+00 6.0432 2.320e-09 ***
fesisTexas.2011 -1.9891e+01 3.7122e+00 -5.3582 1.102e-07 ***
fesisWashington.2011 1.8959e+01 5.9127e+00 3.2065 0.0013971 **
fesisWashington.2012 -2.0568e+01 5.9449e+00 -3.4597 0.0005696 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 12.870 1 0.0003339 ***
Ljung-Box ARCH(1) 10.345 1 0.0012981 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 5.57082
R-squared 0.98029
Log-lik.(n=900) -2770.83203 us_q30
Formula: patent_count ~ lgdp + lpop + lgdp_sq + avg_temp
us_q30 (2000:2020); p.value: 0.05; AR: 1
Date: Sun Mar 26 23:55:11 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 720
Sample: 1 to 720
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 5.4830e-01 3.1304e-02 17.5151 < 2.2e-16 ***
lgdp -1.1402e+03 4.2723e+02 -2.6688 0.0078074 **
lpop 1.0894e+03 3.3430e+02 3.2588 0.0011791 **
lgdp_sq 2.8406e+01 1.4356e+01 1.9787 0.0482793 *
avg_temp 3.5449e+00 2.4954e+00 1.4206 0.1559285
idCalifornia -5.0696e+01 8.1029e+00 -6.2566 7.264e-10 ***
idColorado 4.3787e+00 1.9778e+00 2.2139 0.0271952 *
idConnecticut 7.5066e+00 2.0340e+00 3.6906 0.0002431 ***
idDelaware -3.1088e+00 1.9679e+00 -1.5798 0.1146566
idDistrictofColumbia -7.5829e+00 2.0310e+00 -3.7336 0.0002058 ***
idFlorida 5.0897e+00 1.9848e+00 2.5644 0.0105668 *
idGeorgia -3.5258e+00 1.9864e+00 -1.7750 0.0763815 .
idIdaho -7.3668e+00 2.0269e+00 -3.6344 0.0003013 ***
idIllinois 4.6900e+00 1.9857e+00 2.3618 0.0184872 *
idIndiana -4.8750e+00 1.9888e+00 -2.4512 0.0145078 *
idIowa -7.4367e+00 2.0285e+00 -3.6662 0.0002669 ***
idKentucky -7.6919e+00 2.0319e+00 -3.7855 0.0001680 ***
idMaryland -3.1404e+00 1.9710e+00 -1.5933 0.1115974
idMassachusetts 1.5175e+01 2.4302e+00 6.2443 7.820e-10 ***
idMichigan 1.0336e+01 2.0764e+00 4.9779 8.305e-07 ***
idMinnesota 2.2010e+00 1.9629e+00 1.1213 0.2625975
idMissouri -5.9727e+00 2.0043e+00 -2.9799 0.0029942 **
idNevada -6.0723e+00 2.0038e+00 -3.0304 0.0025421 **
idNewHampshire -5.6100e+00 1.9932e+00 -2.8145 0.0050377 **
idNewJersey 3.5524e+00 2.2808e+00 1.5575 0.1198542
idNewMexico -4.8802e+00 1.9873e+00 -2.4557 0.0143278 *
idNewYork 2.9300e+01 2.8492e+00 10.2836 < 2.2e-16 ***
idNorthCarolina 3.4482e+00 1.9706e+00 1.7498 0.0806415 .
idOhio 7.0685e+00 2.0812e+00 3.3964 0.0007257 ***
idOklahoma -6.6636e+00 2.0156e+00 -3.3059 0.0010003 **
idOregon -2.0487e+00 1.9622e+00 -1.0441 0.2968572
idPennsylvania 7.7708e+00 2.1439e+00 3.6246 0.0003127 ***
idRhodeIsland -7.0436e+00 2.0189e+00 -3.4889 0.0005187 ***
idSouthCarolina 9.1032e-01 1.9574e+00 0.4651 0.6420369
idTennessee -5.3532e+00 1.9957e+00 -2.6823 0.0075025 **
idTexas 7.1159e+00 2.7781e+00 2.5614 0.0106560 *
idUtah -5.6680e+00 1.9984e+00 -2.8363 0.0047108 **
idVirginia -1.8066e-01 1.9570e+00 -0.0923 0.9264762
idWashington 2.3434e+00 1.9625e+00 1.1941 0.2328789
idWisconsin -5.3999e-02 1.9570e+00 -0.0276 0.9779959
time2001 1.6566e+02 7.6804e+01 2.1569 0.0313875 *
time2002 1.5782e+02 7.1710e+01 2.2008 0.0281088 *
time2003 1.5724e+02 6.7331e+01 2.3353 0.0198410 *
time2004 1.5496e+02 6.5597e+01 2.3623 0.0184647 *
time2005 1.4914e+02 5.8039e+01 2.5696 0.0104106 *
time2006 1.3499e+02 5.0411e+01 2.6777 0.0076052 **
time2007 1.2327e+02 4.3804e+01 2.8142 0.0050431 **
time2008 1.0436e+02 3.9665e+01 2.6311 0.0087195 **
time2009 5.7776e+01 2.9282e+01 1.9731 0.0489161 *
time2010 5.2375e+01 2.8423e+01 1.8427 0.0658473 .
time2011 4.9093e+01 2.6763e+01 1.8344 0.0670649 .
time2012 3.7695e+01 1.9471e+01 1.9360 0.0533160 .
time2013 3.3130e+01 2.0187e+01 1.6412 0.1012638
time2014 9.8530e+00 1.1817e+01 0.8338 0.4047307
time2015 8.7424e+00 9.2756e+00 0.9425 0.3462867
time2016 -5.4316e-01 4.9994e+00 -0.1086 0.9135187
iis21 1.0026e+02 9.4637e+00 10.5938 < 2.2e-16 ***
iis22 7.8539e+01 9.2154e+00 8.5225 < 2.2e-16 ***
iis23 8.4717e+01 9.2822e+00 9.1268 < 2.2e-16 ***
iis24 1.1303e+02 9.2640e+00 12.2007 < 2.2e-16 ***
iis25 1.2234e+02 9.0438e+00 13.5271 < 2.2e-16 ***
iis26 1.9782e+02 8.9289e+00 22.1555 < 2.2e-16 ***
iis27 1.7838e+02 9.0679e+00 19.6721 < 2.2e-16 ***
iis28 2.0970e+02 9.3009e+00 22.5461 < 2.2e-16 ***
iis29 2.1501e+02 9.8265e+00 21.8803 < 2.2e-16 ***
iis30 1.6604e+02 1.0299e+01 16.1218 < 2.2e-16 ***
iis31 1.7425e+02 9.8209e+00 17.7428 < 2.2e-16 ***
iis32 1.6577e+02 9.7070e+00 17.0776 < 2.2e-16 ***
iis33 1.6697e+02 9.5629e+00 17.4597 < 2.2e-16 ***
iis34 1.1531e+02 9.4802e+00 12.1633 < 2.2e-16 ***
iis35 1.4302e+02 9.0243e+00 15.8483 < 2.2e-16 ***
iis36 1.4528e+02 9.0145e+00 16.1167 < 2.2e-16 ***
iis37 1.1680e+02 9.0210e+00 12.9481 < 2.2e-16 ***
iis38 1.3246e+02 8.9045e+00 14.8760 < 2.2e-16 ***
iis39 1.0795e+02 8.9070e+00 12.1201 < 2.2e-16 ***
iis151 2.6610e+01 6.4523e+00 4.1241 4.220e-05 ***
iis286 2.7440e+01 6.4631e+00 4.2456 2.508e-05 ***
iis288 4.7146e+01 6.4515e+00 7.3077 8.247e-13 ***
iis313 -1.9870e+01 6.4881e+00 -3.0625 0.0022884 **
iis493 2.4369e+01 6.4544e+00 3.7755 0.0001748 ***
iis547 3.1296e+01 6.4508e+00 4.8515 1.545e-06 ***
iis550 2.5220e+01 6.4534e+00 3.9081 0.0001031 ***
fesisNewJersey.2013 2.2870e+01 6.5416e+00 3.4961 0.0005053 ***
fesisNewJersey.2014 -2.6738e+01 6.7185e+00 -3.9798 7.698e-05 ***
fesisNewYork.2016 -2.4077e+01 6.4850e+00 -3.7127 0.0002232 ***
fesisNewYork.2017 3.1294e+01 8.9052e+00 3.5141 0.0004728 ***
fesisNewYork.2018 -3.0247e+01 7.2544e+00 -4.1694 3.480e-05 ***
fesisTexas.2008 2.3543e+01 4.3796e+00 5.3757 1.075e-07 ***
fesisTexas.2011 -1.8486e+01 4.1357e+00 -4.4698 9.284e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 14.3223 1 0.000154 ***
Ljung-Box ARCH(1) 7.7124 1 0.005484 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 6.18798
R-squared 0.97925
Log-lik.(n=720) -2289.41386